library(readr)
library(lattice)
library(ggplot2)
library(ggridges)
library(ggvis)
## 
## Attaching package: 'ggvis'
## The following object is masked from 'package:ggplot2':
## 
##     resolution
library(ggthemes)
library(cowplot)
## 
## Attaching package: 'cowplot'
## The following object is masked from 'package:ggthemes':
## 
##     theme_map
library(gapminder)
library(gganimate)
## No renderer backend detected. gganimate will default to writing frames to separate files
## Consider installing:
## - the `gifski` package for gif output
## - the `av` package for video output
## and restarting the R session
## 
## Attaching package: 'gganimate'
## The following object is masked from 'package:ggvis':
## 
##     view_static
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats   1.0.0     ✔ stringr   1.5.1
## ✔ lubridate 1.9.3     ✔ tibble    3.2.1
## ✔ purrr     1.0.2     ✔ tidyr     1.3.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter()     masks stats::filter()
## ✖ dplyr::lag()        masks stats::lag()
## ✖ ggvis::resolution() masks ggplot2::resolution()
## ✖ lubridate::stamp()  masks cowplot::stamp()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(grid)
library(gridExtra)
## 
## Attaching package: 'gridExtra'
## 
## The following object is masked from 'package:dplyr':
## 
##     combine
library(RColorBrewer)
layoff <- read_csv("/Users/parul/OneDrive/LAYOFF1.csv")
## Rows: 1418 Columns: 17
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (8): Company, Location_HQ, Country, Continent, Industry, Stage, Money_Ra...
## dbl (9): ID, Laid_Off, Date_layoffs, Percentage, Company_Size_before_Layoffs...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
str(layoff[,7:10])
## tibble [1,418 × 4] (S3: tbl_df/tbl/data.frame)
##  $ Date_layoffs               : num [1:1418] 45280 45279 45278 45278 45274 ...
##  $ Percentage                 : num [1:1418] 15 20 10 10 24 29 15 11 33 100 ...
##  $ Company_Size_before_Layoffs: num [1:1418] 1333 500 3500 1000 3750 ...
##  $ Company_Size_after_layoffs : num [1:1418] 1133 400 3150 900 2850 ...
attach(layoff[,7:10])
#Get the Correlations between the measurements
cor(layoff[,7:10][-1])
##                             Percentage Company_Size_before_Layoffs
## Percentage                   1.0000000                  -0.1101746
## Company_Size_before_Layoffs -0.1101746                   1.0000000
## Company_Size_after_layoffs  -0.1116057                   0.9995833
##                             Company_Size_after_layoffs
## Percentage                                  -0.1116057
## Company_Size_before_Layoffs                  0.9995833
## Company_Size_after_layoffs                   1.0000000
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
layoff_pca <- prcomp(layoff[,7:10][,-1],scale=TRUE)
layoff_pca
## Standard deviations (1, .., p=3):
## [1] 1.4225362 0.9879145 0.0203870
## 
## Rotation (n x k) = (3 x 3):
##                                    PC1        PC2          PC3
## Percentage                   0.1514384 -0.9884662  0.001024988
## Company_Size_before_Layoffs -0.6988979 -0.1078082 -0.707049553
## Company_Size_after_layoffs  -0.6990051 -0.1063581  0.707163262
summary(layoff_pca)
## Importance of components:
##                           PC1    PC2     PC3
## Standard deviation     1.4225 0.9879 0.02039
## Proportion of Variance 0.6745 0.3253 0.00014
## Cumulative Proportion  0.6745 0.9999 1.00000
# Eigenvalues are sdev^2
(eigen_layoff <- layoff_pca$sdev^2)
## [1] 2.0236093687 0.9759750016 0.0004156297
names(eigen_layoff) <- paste("PC",1:3,sep="")
eigen_layoff
##          PC1          PC2          PC3 
## 2.0236093687 0.9759750016 0.0004156297
sumlambdas <- sum(eigen_layoff)
sumlambdas
## [1] 3
propvar <- eigen_layoff/sumlambdas
propvar
##          PC1          PC2          PC3 
## 0.6745364562 0.3253250005 0.0001385432
cumvar_layoff <- cumsum(propvar)
cumvar_layoff
##       PC1       PC2       PC3 
## 0.6745365 0.9998615 1.0000000
matlambdas <- rbind(eigen_layoff,propvar,cumvar_layoff)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
##                        PC1    PC2   PC3
## Eigenvalues         2.0236 0.9760 4e-04
## Prop. variance      0.6745 0.3253 1e-04
## Cum. prop. variance 0.6745 0.9999 1e+00
summary(layoff_pca)
## Importance of components:
##                           PC1    PC2     PC3
## Standard deviation     1.4225 0.9879 0.02039
## Proportion of Variance 0.6745 0.3253 0.00014
## Cumulative Proportion  0.6745 0.9999 1.00000
layoff_pca$rotation
##                                    PC1        PC2          PC3
## Percentage                   0.1514384 -0.9884662  0.001024988
## Company_Size_before_Layoffs -0.6988979 -0.1078082 -0.707049553
## Company_Size_after_layoffs  -0.6990051 -0.1063581  0.707163262
print(layoff_pca)
## Standard deviations (1, .., p=3):
## [1] 1.4225362 0.9879145 0.0203870
## 
## Rotation (n x k) = (3 x 3):
##                                    PC1        PC2          PC3
## Percentage                   0.1514384 -0.9884662  0.001024988
## Company_Size_before_Layoffs -0.6988979 -0.1078082 -0.707049553
## Company_Size_after_layoffs  -0.6990051 -0.1063581  0.707163262

QUESTION : Decide how many Principal Components (PCs) you want to keep and why

ANSWER : The summary of PCA indicates the standard deviation and proportion of variance explained by each PC. In this case, the first PC (PC1) explains 67.45% of the variance, while the second PC (PC2) explains 32.53% of the variance. The cumulative proportion of variance explained by PC1 and PC2 is approximately 99.99%, indicating that these two PCs capture almost all of the variance in the data.

Based on these values, you could consider retaining two principal components (PCs) because:

PC1 and PC2 together explain almost all of the variance in the data (99.99% cumulative proportion of variance explained). Retaining only two PCs simplifies the analysis while still capturing the majority of the variability in the original data.

layoff_pca$x
##                   PC1          PC2           PC3
##    [1,]  8.741866e-02  0.351317149 -9.379621e-05
##    [2,]  1.733845e-01  0.119674026  2.663482e-03
##    [3,] -8.104742e-02  0.570320307 -3.309324e-03
##    [4,]  6.856960e-02  0.593248583  2.601392e-03
##    [5,]  2.337609e-02 -0.099184898 -2.017528e-02
##    [6,]  2.434597e-01 -0.310260213  2.096875e-03
##    [7,]  7.378512e-02  0.349227455 -1.021982e-03
##    [8,]  1.401405e-02  0.535923894 -4.822935e-04
##    [9,]  2.946350e-01 -0.498269315  5.660880e-03
##   [10,]  7.619762e-01 -3.707233541 -1.696008e-02
##   [11,]  7.833986e-01 -3.703929039  4.712191e-03
##   [12,] -8.641905e-02  0.814319836  2.547992e-03
##   [13,]  1.903800e-01  0.122279578  4.342448e-03
##   [14,] -3.523376e-01  0.185981133 -3.518564e-02
##   [15,]  3.132612e-01 -0.642306157  5.058924e-03
##   [16,] -2.382298e-02  0.970802188  4.901103e-03
##   [17,] -3.247451e-01  0.826769540  1.852886e-03
##   [18,]  1.592215e-01  0.117502733  1.264344e-03
##   [19,]  2.101696e-01 -0.119507385  2.016904e-03
##   [20,] -6.902156e-01  0.917676853  1.105623e-02
##   [21,] -1.085719e-01  0.859890011  3.340132e-03
##   [22,] -3.503581e-01  0.529049412 -1.394861e-02
##   [23,]  6.458137e-02  0.690565034  3.471157e-03
##   [24,] -3.279044e-01  0.679388419 -5.144500e-03
##   [25,]  1.308956e-01  0.113160145 -1.533931e-03
##   [26,]  4.147206e-01 -1.312248334  4.717167e-03
##   [27,]  1.677193e-01  0.118805509  2.103827e-03
##   [28,]  1.648867e-01  0.118371250  1.824000e-03
##   [29,]  1.393950e-01  0.261355887  2.074124e-03
##   [30,]  7.725164e-01 -3.705607668 -6.296943e-03
##   [31,]  2.746696e-02  0.635913825  1.741474e-03
##   [32,]  2.562884e-01 -0.259328231  5.244944e-03
##   [33,]  1.877074e-01 -0.122951764 -9.258715e-04
##   [34,]  1.074700e-01  0.599209934  4.138178e-03
##   [35,] -1.288722e+00  0.728046870  2.380998e-03
##   [36,] -8.846585e-02  0.911934689  4.347510e-03
##   [37,]  8.575101e-02  0.400025734  6.713603e-04
##   [38,]  2.441169e-01 -0.261194890  3.403912e-03
##   [39,]  1.960452e-01  0.123148096  4.902103e-03
##   [40,] -4.832359e-02  0.820156751  3.011848e-03
##   [41,] -6.541468e-03  0.826558528  3.520593e-03
##   [42,]  1.456109e-01  0.409200469  4.406425e-03
##   [43,]  1.943139e-01 -0.121938712 -6.034941e-05
##   [44,] -1.685510e-01  0.361048809 -1.521205e-02
##   [45,]  2.304780e-01 -0.361215979 -1.399799e-03
##   [46,]  1.068141e-01  0.354290011  1.233299e-03
##   [47,]  3.374921e-01 -0.834448221  3.860784e-03
##   [48,]  3.227280e-01 -0.689818589  5.525462e-03
##   [49,]  1.292811e-01  0.504625170  4.362099e-03
##   [50,] -1.426321e-01  0.267090116 -1.813731e-02
##   [51,]  1.104624e-01  0.599668500  4.256393e-03
##   [52,]  2.482760e-01 -0.358486186  1.543429e-03
##   [53,]  2.761504e-01 -0.501104819  2.216981e-03
##   [54,]  4.130669e-02  0.735962354  3.322261e-03
##   [55,]  8.034177e-02  0.741943673  4.219538e-03
##   [56,]  2.052376e-01 -0.218192778 -1.089369e-03
##   [57,]  1.044777e-01  0.598751369  4.019964e-03
##   [58,]  1.521401e-01  0.116417086  5.647755e-04
##   [59,] -1.029309e-01  0.909718533  4.323490e-03
##   [60,]  1.903800e-01  0.122279578  4.342448e-03
##   [61,]  1.030371e-01  0.647494244  4.303753e-03
##   [62,]  6.856960e-02  0.593248583  2.601392e-03
##   [63,]  3.440261e-01 -0.833445543  5.428725e-03
##   [64,]  2.163357e-01 -0.118561869  2.824724e-03
##   [65,] -8.703211e-02  0.569403176 -3.545753e-03
##   [66,]  1.534135e-01  0.361432605  4.417635e-03
##   [67,]  1.949122e-01  0.122974392  4.790172e-03
##   [68,]  1.506491e-01  0.409972673  4.719651e-03
##   [69,]  3.027882e-01 -0.594948048  4.414942e-03
##   [70,]  1.875474e-01  0.121845320  4.062620e-03
##   [71,]  1.014853e-01  0.598292803  3.901750e-03
##   [72,]  3.061511e-01 -0.594432126  5.101945e-03
##   [73,]  1.875474e-01  0.121845320  4.062620e-03
##   [74,] -5.016248e-01  0.652769367 -9.129216e-03
##   [75,]  6.053405e-02  0.934762542  4.591592e-03
##   [76,]  2.482760e-01 -0.358486186  1.543429e-03
##   [77,]  1.819436e-01  0.072022051  2.664276e-03
##   [78,] -2.497476e-02  0.823734214  3.296146e-03
##   [79,] -1.217130e+00  0.347248186 -5.606479e-02
##   [80,]  2.519445e-01 -0.504817974 -2.295923e-03
##   [81,]  2.145033e-02  0.634991833  1.537368e-03
##   [82,]  3.027882e-01 -0.594948048  4.414942e-03
##   [83,]  4.856476e-02  0.345361769 -2.747119e-03
##   [84,]  1.494335e-01  0.164966420  1.248588e-03
##   [85,]  7.858860e-01 -3.703545352  7.228565e-03
##   [86,] -6.197556e-01  0.732603033 -3.945985e-03
##   [87,]  3.746589e-02  0.196766516 -7.562811e-03
##   [88,]  6.856960e-02  0.593248583  2.601392e-03
##   [89,]  9.735229e-02  0.548695669  3.280225e-03
##   [90,]  6.994503e-02  0.740350586  3.980091e-03
##   [91,]  2.730850e-02  0.880708593  4.274973e-03
##   [92,] -2.768964e-01  0.785135264  2.287145e-04
##   [93,] -5.112402e-02  0.574905962 -2.127181e-03
##   [94,]  1.361867e-01  0.309828157  2.573548e-03
##   [95,]  1.647648e-01  0.216280818  3.437600e-03
##   [96,]  6.990540e-02  0.691380859  3.621034e-03
##   [97,]  5.970115e-01 -2.508403711  3.515392e-03
##   [98,]  5.839564e-02  0.591689460  2.199464e-03
##   [99,] -7.923405e-02  0.864384933  3.541973e-03
##  [100,]  2.678978e-01 -0.355476653  4.780372e-03
##  [101,]  1.124243e-01  0.648932746  4.620865e-03
##  [102,]  2.393455e-01 -0.359855911  7.224909e-05
##  [103,]  2.480618e-01 -0.407483775  1.027615e-04
##  [104,]  5.213362e-01 -2.128299753 -4.617546e-03
##  [105,]  2.651879e-01 -0.551751416 -1.435023e-03
##  [106,]  2.485514e-01 -0.260514791  4.076159e-03
##  [107,]  3.797401e-02  0.784415440  3.695866e-03
##  [108,]  1.612813e-01 -0.127003975 -4.387960e-03
##  [109,]  1.762171e-01  0.120108285  2.943310e-03
##  [110,]  9.250832e-02  0.596917107  3.547107e-03
##  [111,]  1.471793e-01  0.360477040  3.993346e-03
##  [112,]  2.155800e-01 -0.069713415  3.736738e-03
##  [113,]  4.818249e-02  0.785979620  3.874141e-03
##  [114,]  2.850101e-01 -0.450781060  5.228401e-03
##  [115,]  2.218411e-01 -0.117717659  3.545992e-03
##  [116,]  2.609925e-02  0.978450364  4.723883e-03
##  [117,]  1.762009e-02  0.781296738  3.338450e-03
##  [118,]  8.034177e-02  0.741943673  4.219538e-03
##  [119,]  7.865078e-01 -3.703449430  7.857658e-03
##  [120,]  1.277310e-01  0.455423860  3.832542e-03
##  [121,] -4.944328e-03  0.484054030 -2.461954e-03
##  [122,]  2.446912e-01 -0.359036007  9.551307e-04
##  [123,]  1.262095e-01  0.357262872  2.560395e-03
##  [124,]  7.879380e-01 -3.703228810  9.304573e-03
##  [125,] -2.232864e-01  0.303693420 -2.132212e-02
##  [126,]  1.130484e-01  0.355245576  1.657588e-03
##  [127,]  1.164470e-01  0.600585631  4.492821e-03
##  [128,]  1.140532e-01  0.600218779  4.398250e-03
##  [129,]  1.167327e-01  0.110988852 -2.933069e-03
##  [130,]  9.475488e-02  0.352441622  4.109688e-04
##  [131,]  1.514929e-01  0.361138216  4.284665e-03
##  [132,]  2.700361e-01 -0.355148691  5.133525e-03
##  [133,]  7.455428e-02  0.594165714  2.837821e-03
##  [134,]  1.912298e-01  0.122409856  4.426396e-03
##  [135,] -2.419296e-02  0.579033052 -1.063252e-03
##  [136,] -2.387787e-02  0.725974174  1.828535e-03
##  [137,]  5.490283e-02  0.835972906  4.268747e-03
##  [138,] -1.196876e+00  0.840246048  1.548089e-02
##  [139,]  3.435235e-01 -0.833522672  5.308114e-03
##  [140,] -4.054173e-01  0.471645082 -1.941657e-02
##  [141,]  1.881140e-01  0.121932171  4.118586e-03
##  [142,]  6.334780e-01 -2.747633671  3.128263e-03
##  [143,]  1.300299e-01  0.455776194  3.960304e-03
##  [144,]  2.810859e-01 -0.500347721  3.137394e-03
##  [145,]  7.133036e-01 -3.225032023  7.711052e-03
##  [146,]  7.600796e-01 -3.707526103 -1.887881e-02
##  [147,] -6.486919e-03  0.728638976  2.226746e-03
##  [148,]  2.074941e-01 -0.070953255  2.732170e-03
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##  [152,]  9.375638e-02  0.499180720  2.555656e-03
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##  [154,]  3.382460e-01 -0.834332527  4.041700e-03
##  [155,]  2.926677e-01 -0.596500678  2.386258e-03
##  [156,]  7.096943e-02  0.642580170  3.214898e-03
##  [157,]  9.250832e-02  0.596917107  3.547107e-03
##  [158,]  6.657743e-02  0.495015327  1.176312e-03
##  [159,]  1.107184e-01  0.354888446  1.498371e-03
##  [160,]  7.693880e-02  0.496603292  1.703191e-03
##  [161,] -1.883033e-02  0.824675652  3.370962e-03
##  [162,]  2.409379e-01 -0.212717954  4.062346e-03
##  [163,]  8.763326e-02  0.645133749  3.782534e-03
##  [164,] -5.164216e-01  0.895334794  6.263282e-03
##  [165,] -1.712226e-01  0.899255767  4.211619e-03
##  [166,]  7.455428e-02  0.594165714  2.837821e-03
##  [167,] -1.281856e-01  0.661026399 -2.004871e-03
##  [168,]  1.252304e-01  0.112291628 -2.093586e-03
##  [169,]  2.163357e-01 -0.118561869  2.824724e-03
##  [170,]  2.678978e-01 -0.355476653  4.780372e-03
##  [171,]  9.712401e-02  0.695551701  4.394059e-03
##  [172,]  1.677193e-01  0.118805509  2.103827e-03
##  [173,]  8.915184e-02  0.400546975  8.795987e-04
##  [174,]  5.061556e-02  0.590497190  1.892106e-03
##  [175,]  2.616402e-01 -0.356436426  3.750633e-03
##  [176,]  5.823169e-02  0.493736271  7.492120e-04
##  [177,]  1.361867e-01  0.309828157  2.573548e-03
##  [178,]  5.431838e-02  0.737956127  3.621353e-03
##  [179,]  1.313780e-01  0.407018996  3.518374e-03
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## [1186,]  5.660024e-02  0.591414321  2.128535e-03
## [1187,]  3.344764e-01 -0.834910995  3.137119e-03
## [1188,]  2.739750e-01 -0.452473755  3.244191e-03
## [1189,]  6.377262e-01 -2.746979902  5.939219e-03
## [1190,]  1.943457e-01  0.122887540  4.734206e-03
## [1191,] -1.530325e-01  0.216530044 -2.141446e-02
## [1192,] -7.214001e-03  0.679563474  1.430796e-03
## [1193,]  1.141899e-01  0.453348488  3.062497e-03
## [1194,]  1.140532e-01  0.600218779  4.398250e-03
## [1195,]  4.016176e-02 -0.145576609 -2.025586e-02
## [1196,]  2.252572e-02  0.341370601 -4.524751e-03
## [1197,]  1.616170e-01  0.215798272  3.162113e-03
## [1198,]  1.514929e-01  0.361138216  4.284665e-03
## [1199,]  2.324115e-01 -0.116096774  4.930828e-03
## [1200,]  4.197097e-01 -1.311482297  6.338262e-03
## [1201,] -2.718530e-02  0.578574487 -1.181466e-03
## [1202,]  1.960452e-01  0.123148096  4.902103e-03
## [1203,]  1.932126e-01  0.122713837  4.622275e-03
## [1204,]  3.108413e-01 -0.642677414  4.550234e-03
## [1205,]  2.149512e-01 -0.020845581  4.583239e-03
## [1206,]  2.716398e-01 -0.354902720  5.398390e-03
## [1207,]  2.117749e-01  0.027631551  5.050340e-03
## [1208,]  2.350541e-01 -0.115691553  5.277037e-03
## [1209,]  2.954208e-01 -0.498148760  5.809474e-03
## [1210,]  2.074033e-01  0.075925387  5.342601e-03
## [1211,]  7.879380e-01 -3.703228810  9.304573e-03
## [1212,]  9.375638e-02  0.499180720  2.555656e-03
## [1213,]  1.312788e-01  0.358039873  2.905075e-03
## [1214,]  6.759884e-02  0.642063660  3.101892e-03
## [1215,]  5.747392e-03  0.828441403  3.670223e-03
## [1216,]  3.274586e-01 -1.325646758 -2.363670e-02
## [1217,]  3.035111e-01 -0.594837151  4.564404e-03
## [1218,]  1.535775e-01  0.410421516  4.902510e-03
## [1219,] -3.973390e-01  0.559011615 -1.341600e-02
## [1220,]  1.930582e-01 -0.366955306 -7.579970e-03
## [1221,]  3.565385e-02  0.588204362  1.301035e-03
## [1222,]  1.881434e-01  0.072972559  3.312219e-03
## [1223,]  1.322657e-01  0.456118870  4.088934e-03
## [1224,]  9.569746e-02  0.646369510  4.054097e-03
## [1225,]  1.368004e-01  0.456813880  4.345326e-03
## [1226,]  1.224317e-01  0.601502762  4.729250e-03
## [1227,]  4.856476e-02  0.345361769 -2.747119e-03
## [1228,]  1.196643e-01  0.405223625  2.786935e-03
## [1229,]  2.185378e-01 -0.118224185  3.113231e-03
## [1230,]  2.589673e-01 -0.356846378  3.309192e-03
## [1231,]  2.310902e-01 -0.116299385  4.757723e-03
## [1232,]  1.056832e-01  0.647899726  4.394852e-03
## [1233,]  5.643719e-02  0.934134873  4.584234e-03
## [1234,]  2.909077e-01 -0.596770695  2.027897e-03
## [1235,]  2.371347e-01 -0.262265692  2.352266e-03
## [1236,]  4.722322e-02  0.687905158  2.976846e-03
## [1237,]  1.002884e-01  0.598109377  3.854464e-03
## [1238,]  3.769843e-02  0.833336880  4.059264e-03
## [1239,]  1.074700e-01  0.599209934  4.138178e-03
## [1240,]  1.774821e-01  0.218230316  4.537815e-03
## [1241,]  3.245191e-01 -0.689543776  5.915277e-03
## [1242,]  9.151629e-02  0.449873440  1.780537e-03
## [1243,]  1.663703e-01  0.216526919  3.574910e-03
## [1244,]  1.847149e-01  0.121411061  3.782793e-03
## [1245,]  2.227676e-01 -0.607224353 -1.170000e-02
## [1246,]  1.450586e-01  0.115331439 -1.347934e-04
## [1247,]  3.231675e-01 -0.836646398  4.233760e-04
## [1248,]  5.337327e-01 -2.126394106  1.588326e-03
## [1249,]  1.141167e-01  0.306445213  9.325661e-04
## [1250,]  2.295487e-01 -0.116535764  4.555768e-03
## [1251,]  1.974615e-01  0.123365225  5.042017e-03
## [1252,] -1.222359e-02  0.580867314 -5.903946e-04
## [1253,]  1.919502e-01 -0.024372277  1.871062e-03
## [1254,]  2.646904e-01 -0.355968595  4.250643e-03
## [1255,]  3.049568e-01 -0.594615356  4.863327e-03
## [1256,]  6.587741e-02 -1.071999436 -7.832725e-02
## [1257,]  6.856960e-02  0.593248583  2.601392e-03
## [1258,]  8.652364e-02  0.595999976  3.310678e-03
## [1259,]  2.273465e-01 -0.116873448  4.267261e-03
## [1260,]  1.008729e-01  0.696126156  4.501857e-03
## [1261,]  1.597049e-01  0.313433092  4.322121e-03
## [1262,]  2.639641e-01 -0.307115475  5.321667e-03
## [1263,]  2.498079e-01 -0.211357690  5.343062e-03
## [1264,]  7.878758e-01 -3.703238402  9.241664e-03
## [1265,] -1.591398e-01  0.215593859 -2.190427e-02
## [1266,]  3.864619e-02  0.588662928  1.419249e-03
## [1267,]  2.590036e-01 -0.405805469  1.992607e-03
## [1268,]  7.455428e-02  0.594165714  2.837821e-03
## [1269,]  2.904914e-01 -0.547869679  3.477245e-03
## [1270,]  2.830610e-01 -0.451080049  4.872644e-03
## [1271,]  1.510836e-01  0.361075475  4.258418e-03
## [1272,]  6.104726e-02  0.836914344  4.343562e-03
## [1273,]  7.208725e-02  0.887569263  4.583046e-03
## [1274,]  3.308809e-01 -1.080290329 -8.495044e-03
## [1275,]  2.217237e-01 -0.264629155  1.382823e-05
## [1276,]  2.823433e-01 -0.500154833  3.375143e-03
## [1277,]  3.753067e-01 -1.073471100  3.997100e-03
## [1278,]  3.374921e-01 -0.834448221  3.860784e-03
## [1279,]  2.997708e-01 -0.595410953  3.818832e-03
## [1280,]  3.045483e-01 -0.594678031  4.773303e-03
## [1281,]  3.432722e-01 -0.833561237  5.247808e-03
## [1282,]  5.490283e-02  0.835972906  4.268747e-03
## [1283,]  1.158486e-01  0.600493918  4.469179e-03
## [1284,]  1.658442e-01  0.314374138  4.779600e-03
## [1285,]  1.218333e-01  0.601411049  4.705607e-03
## [1286,]  1.411226e-01  0.506439987  4.964247e-03
## [1287,]  2.992184e-01 -1.329982818 -3.281270e-02
## [1288,]  3.330909e-01 -1.030985333 -5.487719e-03
## [1289,]  4.139707e-01 -1.459261428 -3.333639e-03
## [1290,] -9.854551e-02  0.714532907  1.146649e-04
## [1291,]  1.733845e-01  0.119674026  2.663482e-03
## [1292,]  1.312788e-01  0.358039873  2.905075e-03
## [1293,]  9.250832e-02  0.596917107  3.547107e-03
## [1294,]  7.365424e-02  0.691955314  3.728832e-03
## [1295,]  6.301386e-02  0.739288528  3.820459e-03
## [1296,]  2.810859e-01 -0.500347721  3.137394e-03
## [1297,]  1.733845e-01  0.119674026  2.663482e-03
## [1298,]  1.798995e-01  0.120672821  3.307086e-03
## [1299,]  1.128562e-01  0.600035352  4.350964e-03
## [1300,]  1.477207e-01  0.409523830  4.536791e-03
## [1301,]  2.858590e-01 -0.450650848  5.376127e-03
## [1302,]  1.974615e-01  0.123365225  5.042017e-03
## [1303,]  1.224317e-01  0.601502762  4.729250e-03
## [1304,]  2.295487e-01 -0.116535764  4.555768e-03
## [1305,]  1.183843e-01  0.502955150  3.810709e-03
## [1306,]  2.227090e-01 -0.509302682 -7.759826e-03
## [1307,]  3.933523e-01 -1.315529286 -2.226012e-03
## [1308,]  3.059792e-01 -0.692388349  1.898251e-03
## [1309,]  4.130669e-02  0.735962354  3.322261e-03
## [1310,]  1.231963e-01  0.454728850  3.576150e-03
## [1311,]  3.438690e-01 -0.833469654  5.399006e-03
## [1312,]  1.349740e-01  0.456533944  4.242943e-03
## [1313,]  9.561187e-02  0.695319988  4.351113e-03
## [1314,]  2.343935e-01 -0.115792858  5.190484e-03
## [1315,]  2.079327e-01 -0.609500247 -1.468402e-02
## [1316,] -4.195557e-01  0.861209346  3.804814e-03
## [1317,]  4.342880e-01 -1.505107365  1.128264e-03
## [1318,]  1.771602e-01  0.022324394  1.190871e-03
## [1319,]  2.163357e-01 -0.118561869  2.824724e-03
## [1320,]  1.762171e-01  0.120108285  2.943310e-03
## [1321,]  1.559855e-01  0.263899024  3.407956e-03
## [1322,]  2.634011e-01 -0.356166344  4.045216e-03
## [1323,]  2.253646e-01 -0.117177364  4.007604e-03
## [1324,]  1.906633e-01  0.122323004  4.370430e-03
## [1325,]  1.838996e-01  0.170250119  4.440565e-03
## [1326,]  1.534135e-01  0.361432605  4.417635e-03
## [1327,]  8.642230e-02  0.742875388  4.358999e-03
## [1328,]  1.003477e-01  0.745009162  4.677394e-03
## [1329,]  9.298633e-02  0.792844628  4.660109e-03
## [1330,]  1.021120e-01  0.745279505  4.716868e-03
## [1331,]  1.733845e-01  0.119674026  2.663482e-03
## [1332,]  1.174395e-01  0.502810354  3.759951e-03
## [1333,]  2.271263e-01 -0.116907216  4.238410e-03
## [1334,]  1.875474e-01  0.121845320  4.062620e-03
## [1335,]  1.295575e-01  0.455703796  3.934925e-03
## [1336,]  9.100385e-02  0.645650259  3.895541e-03
## [1337,]  1.050216e-01  0.647798355  4.372077e-03
## [1338,]  1.960452e-01  0.123148096  4.902103e-03
## [1339,]  1.968950e-01  0.123278373  4.986051e-03
## [1340,]  2.350541e-01 -0.115691553  5.277037e-03
## [1341,]  3.471360e-01 -0.832968316  6.182976e-03
## [1342,]  7.596405e-02  0.202668096 -4.235052e-03
## [1343,]  2.375846e-01 -0.360125993 -2.223341e-04
## [1344,]  3.320073e-01 -0.884255143  6.434844e-04
## [1345,]  2.557599e-01 -0.357338320  2.779463e-03
## [1346,]  3.172916e-01 -0.690652685  4.356885e-03
## [1347,]  5.819039e-02  0.885440089  4.487437e-03
## [1348,]  1.556243e-01  0.410735220  5.033744e-03
## [1349,]  2.304780e-01 -0.361215979 -1.399799e-03
## [1350,]  2.119313e-01 -0.119237238  2.247709e-03
## [1351,]  1.790497e-01  0.120542543  3.223137e-03
## [1352,]  2.625522e-01 -0.356296556  3.897491e-03
## [1353,]  2.659167e-01 -0.355780503  4.456938e-03
## [1354,]  1.003911e-01  0.647088762  4.212653e-03
## [1355,]  6.035458e-01 -2.507398588  7.410771e-03
## [1356,]  4.207452e-01 -1.311323308  6.674715e-03
## [1357,]  2.890680e-01 -0.792913614 -5.634205e-03
## [1358,]  7.875338e-01 -3.703291159  8.895663e-03
## [1359,]  3.980590e-01 -1.314806609 -6.966772e-04
## [1360,]  6.590556e-01 -2.988540336 -5.430345e-03
## [1361,]  2.026805e-01 -0.365479479 -5.990783e-03
## [1362,]  7.802894e-01 -3.704408647  1.566724e-03
## [1363,]  1.080189e-01  0.272867710 -1.265575e-04
## [1364,]  2.097291e-01 -0.119574922  1.959202e-03
## [1365,]  2.523954e-01 -0.357854374  2.220016e-03
## [1366,]  2.163357e-01 -0.118561869  2.824724e-03
## [1367,]  1.733845e-01  0.119674026  2.663482e-03
## [1368,]  2.611056e-01 -0.356518417  3.662345e-03
## [1369,]  1.002884e-01  0.598109377  3.854464e-03
## [1370,]  1.932126e-01  0.122713837  4.622275e-03
## [1371,]  1.932126e-01  0.122713837  4.622275e-03
## [1372,]  3.980590e-01 -1.314806609 -6.966772e-04
## [1373,]  9.849300e-02  0.597834238  3.783535e-03
## [1374,]  1.002884e-01  0.598109377  3.854464e-03
## [1375,]  6.026700e-01 -2.507533270  6.912704e-03
## [1376,]  1.951954e-01  0.123017818  4.818155e-03
## [1377,]  7.876582e-01 -3.703271975  9.021481e-03
## [1378,]  1.722922e-01 -0.125315554 -2.945423e-03
## [1379,]  2.101686e-01 -0.021578894  4.011432e-03
## [1380,]  2.502812e-01 -0.260249505  4.339288e-03
## [1381,]  6.022011e-01 -2.507605407  6.632216e-03
## [1382,]  2.164617e-01 -0.020613998  4.753739e-03
## [1383,]  7.702278e-02  0.839362082  4.538082e-03
## [1384,]  2.333659e-01 -0.507667931 -5.770409e-03
## [1385,]  5.407764e-01 -2.125311332  5.094097e-03
## [1386,]  2.607282e-01 -0.356576296  3.603776e-03
## [1387,]  1.944010e-02  0.340897648 -4.737329e-03
## [1388,]  1.393303e-01  0.212381820  1.237171e-03
## [1389,]  4.130262e-01 -1.312508498  4.166607e-03
## [1390,]  2.066771e-01  0.026849951  4.482873e-03
## [1391,]  3.457853e-01 -0.833175592  5.850862e-03
## [1392,]  1.746538e-01  0.266760662  4.904477e-03
## [1393,]  2.354946e-01 -0.115624016  5.334738e-03
## [1394,]  7.480188e-01 -3.611443620 -1.531540e-02
## [1395,]  4.187684e-01 -1.311626832  6.032395e-03
## [1396,]  4.168857e-01 -1.311915903  5.420661e-03
## [1397,]  2.005774e-01  0.123842910  5.349827e-03
## [1398,]  1.832650e-01  0.023260383  1.872005e-03
## [1399,]  7.875649e-01 -3.703286363  8.927117e-03
## [1400,]  1.236287e-01  0.601686188  4.776536e-03
## [1401,]  6.045148e-01 -2.507249517  8.003202e-03
## [1402,]  3.457853e-01 -0.833175592  5.850862e-03
## [1403,]  1.221119e-01  0.258706582  6.860623e-04
## [1404,] -6.184133e-02  0.818085587  2.847254e-03
## [1405,] -3.111919e-02  0.822792776  3.221331e-03
## [1406,]  1.231963e-01  0.454728850  3.576150e-03
## [1407,] -1.176088e+01 -0.755362341  1.353533e-01
## [1408,]  1.263959e-01  0.438897964  3.582270e-03
## [1409,]  2.375396e-01 -0.604958117 -8.715106e-03
## [1410,]  1.434959e-02  0.829759416  3.774965e-03
## [1411,]  1.062731e-01  0.599026508  4.090893e-03
## [1412,]  6.899906e-02  0.887096113  4.561799e-03
## [1413,] -1.580339e-01 -0.175968190 -4.622153e-02
## [1414,]  5.412462e-01 -2.125239129  5.310808e-03
## [1415,]  1.559855e-01  0.263899024  3.407956e-03
## [1416,]  8.763326e-02  0.645133749  3.782534e-03
## [1417,]  1.534135e-01  0.361432605  4.417635e-03
## [1418,]  7.818440e-01 -3.704168843  3.139458e-03

QUESTION : Explain the variate representation each PCs

ANSWER 2 :

PC1: The first principal component is primarily characterized by a positive loading for the variable “Percentage” (0.1514), indicating a positive correlation between this variable and PC1. The other two variables, “Company_Size_before_Layoffs” and “Company_Size_after_layoffs,” have negative loadings, indicating a negative correlation with PC1.

PC2: The second principal component has a strong negative loading for the variable “Percentage” (-0.9885), indicating a strong negative correlation between this variable and PC2. The other variables have relatively smaller loadings, with both “Company_Size_before_Layoffs” and “Company_Size_after_layoffs” having negative loadings.

PC3: The third principal component has very small loadings for all variables, suggesting that it explains very little variance in the original data compared to PC1 and PC2. The variable “Percentage” has a slightly positive loading, while the other variables have negligible loadings.

In summary, PC1 captures the overall variation in the data related to the “Percentage” variable, while PC2 captures the variation mostly in “Company_Size_before_Layoffs” and “Company_Size_after_layoffs,” with an emphasis on the negative correlation with “Percentage.” PC3 contributes very little to the overall variance explained by the principal components and may not be meaningful for interpretation based on the provided rotation matrix.

layofftyp_pca <- cbind(data.frame(layoff$Laid_Off_Yes_No),layoff_pca$x)
layofftyp_pca
##      layoff.Laid_Off_Yes_No           PC1          PC2           PC3
## 1                       Yes  8.741866e-02  0.351317149 -9.379621e-05
## 2                        No  1.733845e-01  0.119674026  2.663482e-03
## 3                       Yes -8.104742e-02  0.570320307 -3.309324e-03
## 4                        No  6.856960e-02  0.593248583  2.601392e-03
## 5                       Yes  2.337609e-02 -0.099184898 -2.017528e-02
## 6                        No  2.434597e-01 -0.310260213  2.096875e-03
## 7                       Yes  7.378512e-02  0.349227455 -1.021982e-03
## 8                       Yes  1.401405e-02  0.535923894 -4.822935e-04
## 9                        No  2.946350e-01 -0.498269315  5.660880e-03
## 10                      Yes  7.619762e-01 -3.707233541 -1.696008e-02
## 11                       No  7.833986e-01 -3.703929039  4.712191e-03
## 12                       No -8.641905e-02  0.814319836  2.547992e-03
## 13                       No  1.903800e-01  0.122279578  4.342448e-03
## 14                      Yes -3.523376e-01  0.185981133 -3.518564e-02
## 15                       No  3.132612e-01 -0.642306157  5.058924e-03
## 16                       No -2.382298e-02  0.970802188  4.901103e-03
## 17                      Yes -3.247451e-01  0.826769540  1.852886e-03
## 18                       No  1.592215e-01  0.117502733  1.264344e-03
## 19                       No  2.101696e-01 -0.119507385  2.016904e-03
## 20                       No -6.902156e-01  0.917676853  1.105623e-02
## 21                       No -1.085719e-01  0.859890011  3.340132e-03
## 22                      Yes -3.503581e-01  0.529049412 -1.394861e-02
## 23                       No  6.458137e-02  0.690565034  3.471157e-03
## 24                      Yes -3.279044e-01  0.679388419 -5.144500e-03
## 25                      Yes  1.308956e-01  0.113160145 -1.533931e-03
## 26                       No  4.147206e-01 -1.312248334  4.717167e-03
## 27                       No  1.677193e-01  0.118805509  2.103827e-03
## 28                       No  1.648867e-01  0.118371250  1.824000e-03
## 29                       No  1.393950e-01  0.261355887  2.074124e-03
## 30                      Yes  7.725164e-01 -3.705607668 -6.296943e-03
## 31                       No  2.746696e-02  0.635913825  1.741474e-03
## 32                       No  2.562884e-01 -0.259328231  5.244944e-03
## 33                      Yes  1.877074e-01 -0.122951764 -9.258715e-04
## 34                       No  1.074700e-01  0.599209934  4.138178e-03
## 35                      Yes -1.288722e+00  0.728046870  2.380998e-03
## 36                       No -8.846585e-02  0.911934689  4.347510e-03
## 37                       No  8.575101e-02  0.400025734  6.713603e-04
## 38                       No  2.441169e-01 -0.261194890  3.403912e-03
## 39                       No  1.960452e-01  0.123148096  4.902103e-03
## 40                       No -4.832359e-02  0.820156751  3.011848e-03
## 41                       No -6.541468e-03  0.826558528  3.520593e-03
## 42                       No  1.456109e-01  0.409200469  4.406425e-03
## 43                      Yes  1.943139e-01 -0.121938712 -6.034941e-05
## 44                      Yes -1.685510e-01  0.361048809 -1.521205e-02
## 45                      Yes  2.304780e-01 -0.361215979 -1.399799e-03
## 46                       No  1.068141e-01  0.354290011  1.233299e-03
## 47                       No  3.374921e-01 -0.834448221  3.860784e-03
## 48                       No  3.227280e-01 -0.689818589  5.525462e-03
## 49                       No  1.292811e-01  0.504625170  4.362099e-03
## 50                      Yes -1.426321e-01  0.267090116 -1.813731e-02
## 51                       No  1.104624e-01  0.599668500  4.256393e-03
## 52                       No  2.482760e-01 -0.358486186  1.543429e-03
## 53                       No  2.761504e-01 -0.501104819  2.216981e-03
## 54                       No  4.130669e-02  0.735962354  3.322261e-03
## 55                       No  8.034177e-02  0.741943673  4.219538e-03
## 56                      Yes  2.052376e-01 -0.218192778 -1.089369e-03
## 57                       No  1.044777e-01  0.598751369  4.019964e-03
## 58                       No  1.521401e-01  0.116417086  5.647755e-04
## 59                       No -1.029309e-01  0.909718533  4.323490e-03
## 60                       No  1.903800e-01  0.122279578  4.342448e-03
## 61                       No  1.030371e-01  0.647494244  4.303753e-03
## 62                       No  6.856960e-02  0.593248583  2.601392e-03
## 63                       No  3.440261e-01 -0.833445543  5.428725e-03
## 64                       No  2.163357e-01 -0.118561869  2.824724e-03
## 65                      Yes -8.703211e-02  0.569403176 -3.545753e-03
## 66                       No  1.534135e-01  0.361432605  4.417635e-03
## 67                       No  1.949122e-01  0.122974392  4.790172e-03
## 68                       No  1.506491e-01  0.409972673  4.719651e-03
## 69                       No  3.027882e-01 -0.594948048  4.414942e-03
## 70                       No  1.875474e-01  0.121845320  4.062620e-03
## 71                       No  1.014853e-01  0.598292803  3.901750e-03
## 72                       No  3.061511e-01 -0.594432126  5.101945e-03
## 73                       No  1.875474e-01  0.121845320  4.062620e-03
## 74                      Yes -5.016248e-01  0.652769367 -9.129216e-03
## 75                       No  6.053405e-02  0.934762542  4.591592e-03
## 76                       No  2.482760e-01 -0.358486186  1.543429e-03
## 77                       No  1.819436e-01  0.072022051  2.664276e-03
## 78                       No -2.497476e-02  0.823734214  3.296146e-03
## 79                      Yes -1.217130e+00  0.347248186 -5.606479e-02
## 80                      Yes  2.519445e-01 -0.504817974 -2.295923e-03
## 81                       No  2.145033e-02  0.634991833  1.537368e-03
## 82                       No  3.027882e-01 -0.594948048  4.414942e-03
## 83                      Yes  4.856476e-02  0.345361769 -2.747119e-03
## 84                       No  1.494335e-01  0.164966420  1.248588e-03
## 85                       No  7.858860e-01 -3.703545352  7.228565e-03
## 86                      Yes -6.197556e-01  0.732603033 -3.945985e-03
## 87                      Yes  3.746589e-02  0.196766516 -7.562811e-03
## 88                       No  6.856960e-02  0.593248583  2.601392e-03
## 89                       No  9.735229e-02  0.548695669  3.280225e-03
## 90                       No  6.994503e-02  0.740350586  3.980091e-03
## 91                       No  2.730850e-02  0.880708593  4.274973e-03
## 92                      Yes -2.768964e-01  0.785135264  2.287145e-04
## 93                      Yes -5.112402e-02  0.574905962 -2.127181e-03
## 94                       No  1.361867e-01  0.309828157  2.573548e-03
## 95                       No  1.647648e-01  0.216280818  3.437600e-03
## 96                       No  6.990540e-02  0.691380859  3.621034e-03
## 97                       No  5.970115e-01 -2.508403711  3.515392e-03
## 98                       No  5.839564e-02  0.591689460  2.199464e-03
## 99                       No -7.923405e-02  0.864384933  3.541973e-03
## 100                      No  2.678978e-01 -0.355476653  4.780372e-03
## 101                      No  1.124243e-01  0.648932746  4.620865e-03
## 102                     Yes  2.393455e-01 -0.359855911  7.224909e-05
## 103                     Yes  2.480618e-01 -0.407483775  1.027615e-04
## 104                     Yes  5.213362e-01 -2.128299753 -4.617546e-03
## 105                     Yes  2.651879e-01 -0.551751416 -1.435023e-03
## 106                      No  2.485514e-01 -0.260514791  4.076159e-03
## 107                      No  3.797401e-02  0.784415440  3.695866e-03
## 108                     Yes  1.612813e-01 -0.127003975 -4.387960e-03
## 109                      No  1.762171e-01  0.120108285  2.943310e-03
## 110                      No  9.250832e-02  0.596917107  3.547107e-03
## 111                      No  1.471793e-01  0.360477040  3.993346e-03
## 112                      No  2.155800e-01 -0.069713415  3.736738e-03
## 113                      No  4.818249e-02  0.785979620  3.874141e-03
## 114                      No  2.850101e-01 -0.450781060  5.228401e-03
## 115                      No  2.218411e-01 -0.117717659  3.545992e-03
## 116                      No  2.609925e-02  0.978450364  4.723883e-03
## 117                      No  1.762009e-02  0.781296738  3.338450e-03
## 118                      No  8.034177e-02  0.741943673  4.219538e-03
## 119                      No  7.865078e-01 -3.703449430  7.857658e-03
## 120                      No  1.277310e-01  0.455423860  3.832542e-03
## 121                     Yes -4.944328e-03  0.484054030 -2.461954e-03
## 122                      No  2.446912e-01 -0.359036007  9.551307e-04
## 123                      No  1.262095e-01  0.357262872  2.560395e-03
## 124                      No  7.879380e-01 -3.703228810  9.304573e-03
## 125                     Yes -2.232864e-01  0.303693420 -2.132212e-02
## 126                      No  1.130484e-01  0.355245576  1.657588e-03
## 127                      No  1.164470e-01  0.600585631  4.492821e-03
## 128                      No  1.140532e-01  0.600218779  4.398250e-03
## 129                     Yes  1.167327e-01  0.110988852 -2.933069e-03
## 130                      No  9.475488e-02  0.352441622  4.109688e-04
## 131                      No  1.514929e-01  0.361138216  4.284665e-03
## 132                      No  2.700361e-01 -0.355148691  5.133525e-03
## 133                      No  7.455428e-02  0.594165714  2.837821e-03
## 134                      No  1.912298e-01  0.122409856  4.426396e-03
## 135                     Yes -2.419296e-02  0.579033052 -1.063252e-03
## 136                      No -2.387787e-02  0.725974174  1.828535e-03
## 137                      No  5.490283e-02  0.835972906  4.268747e-03
## 138                     Yes -1.196876e+00  0.840246048  1.548089e-02
## 139                      No  3.435235e-01 -0.833522672  5.308114e-03
## 140                     Yes -4.054173e-01  0.471645082 -1.941657e-02
## 141                      No  1.881140e-01  0.121932171  4.118586e-03
## 142                      No  6.334780e-01 -2.747633671  3.128263e-03
## 143                      No  1.300299e-01  0.455776194  3.960304e-03
## 144                      No  2.810859e-01 -0.500347721  3.137394e-03
## 145                      No  7.133036e-01 -3.225032023  7.711052e-03
## 146                     Yes  7.600796e-01 -3.707526103 -1.887881e-02
## 147                      No -6.486919e-03  0.728638976  2.226746e-03
## 148                      No  2.074941e-01 -0.070953255  2.732170e-03
## 149                      No  9.193498e-02  0.547865455  3.035984e-03
## 150                     Yes  9.710870e-03  0.339406388 -5.400443e-03
## 151                      No  1.289118e-01  0.259748934  1.230094e-03
## 152                      No  9.375638e-02  0.499180720  2.555656e-03
## 153                      No -3.908758e-02  0.870535877  3.818176e-03
## 154                      No  3.382460e-01 -0.834332527  4.041700e-03
## 155                      No  2.926677e-01 -0.596500678  2.386258e-03
## 156                      No  7.096943e-02  0.642580170  3.214898e-03
## 157                      No  9.250832e-02  0.596917107  3.547107e-03
## 158                      No  6.657743e-02  0.495015327  1.176312e-03
## 159                      No  1.107184e-01  0.354888446  1.498371e-03
## 160                      No  7.693880e-02  0.496603292  1.703191e-03
## 161                      No -1.883033e-02  0.824675652  3.370962e-03
## 162                      No  2.409379e-01 -0.212717954  4.062346e-03
## 163                      No  8.763326e-02  0.645133749  3.782534e-03
## 164                     Yes -5.164216e-01  0.895334794  6.263282e-03
## 165                      No -1.712226e-01  0.899255767  4.211619e-03
## 166                      No  7.455428e-02  0.594165714  2.837821e-03
## 167                     Yes -1.281856e-01  0.661026399 -2.004871e-03
## 168                     Yes  1.252304e-01  0.112291628 -2.093586e-03
## 169                      No  2.163357e-01 -0.118561869  2.824724e-03
## 170                      No  2.678978e-01 -0.355476653  4.780372e-03
## 171                      No  9.712401e-02  0.695551701  4.394059e-03
## 172                      No  1.677193e-01  0.118805509  2.103827e-03
## 173                      No  8.915184e-02  0.400546975  8.795987e-04
## 174                      No  5.061556e-02  0.590497190  1.892106e-03
## 175                      No  2.616402e-01 -0.356436426  3.750633e-03
## 176                      No  5.823169e-02  0.493736271  7.492120e-04
## 177                      No  1.361867e-01  0.309828157  2.573548e-03
## 178                      No  5.431838e-02  0.737956127  3.621353e-03
## 179                      No  1.313780e-01  0.407018996  3.518374e-03
## 180                      No  1.044777e-01  0.598751369  4.019964e-03
## 181                     Yes  1.572932e-01 -0.176580359 -6.414322e-03
## 182                      No -1.601433e-02  0.923034781  4.465872e-03
## 183                     Yes  2.144410e-01 -0.363675691 -4.048444e-03
## 184                      No  2.879533e-01 -0.597223942  1.430919e-03
## 185                     Yes  4.392696e-04  0.533843530 -1.092461e-03
## 186                      No  2.067704e-01 -0.022099939  3.611862e-03
## 187                      No  3.797401e-02  0.784415440  3.695866e-03
## 188                      No  9.370526e-02  0.597100533  3.594393e-03
## 189                     Yes -5.230489e-01  0.845353451  3.635602e-03
## 190                      No  1.159171e-01  0.404649300  2.551582e-03
## 191                      No  1.762009e-02  0.781296738  3.338450e-03
## 192                     Yes -1.021132e+00  0.720074308 -2.938173e-03
## 193                     Yes  1.788987e-01 -0.124302501 -2.079901e-03
## 194                     Yes  6.761389e-02  0.348281547 -1.447139e-03
## 195                     Yes -4.497857e-01  0.024137111 -5.889858e-02
## 196                     Yes -2.620773e-01  0.297747697 -2.397631e-02
## 197                      No  2.922143e-01 -0.498640637  5.215968e-03
## 198                      No  1.104624e-01  0.599668500  4.256393e-03
## 199                      No  2.565086e-01 -0.259294462  5.273795e-03
## 200                     Yes -3.398859e-01  0.628586519 -8.017289e-03
## 201                      No  1.118834e-01  0.355067011  1.577980e-03
## 202                      No  8.652364e-02  0.595999976  3.310678e-03
## 203                      No  2.858642e-01 -0.499614734  4.028087e-03
## 204                      No  1.404534e-01  0.457373751  4.550093e-03
## 205                      No  1.277310e-01  0.455423860  3.832542e-03
## 206                      No  9.331213e-02  0.694967589  4.287128e-03
## 207                     Yes  2.168936e-01 -0.363299507 -3.635854e-03
## 208                      No -2.519073e-02  0.872665050  3.913785e-03
## 209                     Yes -8.637892e-03  0.287629086 -8.185566e-03
## 210                     Yes -3.741882e-02  0.528041689 -2.803012e-03
## 211                      No  7.080119e-02  0.544626654  2.083533e-03
## 212                      No  9.375638e-02  0.499180720  2.555656e-03
## 213                      No  1.542582e-01  0.312598212  3.918871e-03
## 214                      No  1.889637e-01  0.122062449  4.202534e-03
## 215                      No  1.397540e-01  0.408302784  4.040706e-03
## 216                      No  2.622974e-01 -0.307371104  5.057670e-03
## 217                      No  2.922143e-01 -0.498640637  5.215968e-03
## 218                      No  4.107670e-01 -1.312855383  3.432526e-03
## 219                      No  2.625522e-01 -0.356296556  3.897491e-03
## 220                     Yes -6.569392e-01 -0.987047986 -2.347677e-01
## 221                      No  1.322657e-01  0.456118870  4.088934e-03
## 222                     Yes  2.001567e-02 -0.197631627 -2.531180e-02
## 223                      No  7.163094e-02  0.642681541  3.237673e-03
## 224                      No  9.516422e-02  0.352504362  4.372156e-04
## 225                      No  2.611056e-01 -0.356518417  3.662345e-03
## 226                      No  1.257852e-01  0.504089410  4.187052e-03
## 227                      No  6.138798e-02  0.592148026  2.317678e-03
## 228                     Yes  7.381973e-02  0.006480118 -1.033070e-02
## 229                      No  6.092070e-02  0.641040297  2.875011e-03
## 230                      No  1.103768e-01  0.648618977  4.553409e-03
## 231                      No  1.336088e-01  0.358397002  3.064292e-03
## 232                      No -9.051428e-02  0.911620854  4.343830e-03
## 233                      No  2.346137e-01 -0.115759090  5.219335e-03
## 234                      No  1.804660e-01  0.120759673  3.363051e-03
## 235                      No  1.739612e-01  0.266654496  4.850247e-03
## 236                      No  3.357329e-01 -0.834718172  3.438646e-03
## 237                     Yes -3.787885e-01  0.818489422  1.481074e-03
## 238                     Yes  7.756256e-01 -3.705128060 -3.151476e-03
## 239                     Yes -2.259231e-01  0.841910327  2.532770e-03
## 240                      No  3.382460e-01 -0.834332527  4.041700e-03
## 241                      No  2.284476e-01 -0.116704606  4.411515e-03
## 242                      No  7.970282e-02  0.692882168  3.900616e-03
## 243                      No  3.249276e-01 -0.689481100  6.005302e-03
## 244                      No  2.053248e-01 -0.120250290  1.382187e-03
## 245                      No  7.231959e-01 -3.321447198  3.699254e-03
## 246                      No  1.733845e-01  0.119674026  2.663482e-03
## 247                     Yes  2.215475e-01 -0.362585705 -2.870979e-03
## 248                      No  1.055298e-01  0.452021210  2.575960e-03
## 249                      No  1.596653e-01  0.215499087  2.997688e-03
## 250                      No  1.974615e-01  0.123365225  5.042017e-03
## 251                      No  1.825422e-01 -0.025814792  7.571675e-04
## 252                      No  1.097932e-01  0.550602264  3.842238e-03
## 253                      No  1.356742e-01  0.505604977  4.688552e-03
## 254                      No  3.753067e-01 -1.073471100  3.997100e-03
## 255                     Yes -1.046295e-01  0.762565209  1.195689e-03
## 256                      No  5.996378e-01 -2.507999730  5.073370e-03
## 257                      No  2.341733e-01 -0.115826627  5.161634e-03
## 258                      No  1.584828e-01  0.362209605  4.762315e-03
## 259                     Yes -6.955236e-01  0.672026265 -9.160700e-03
## 260                      No  2.559110e-01 -0.259386110  5.186375e-03
## 261                     Yes -2.267015e-01  0.156270961 -3.038836e-02
## 262                      No  2.896995e-01 -0.499026413  4.740468e-03
## 263                      No  2.361552e-01 -0.115522711  5.421290e-03
## 264                     Yes -6.892810e-01  0.232267483 -5.316547e-02
## 265                      No  1.107184e-01  0.354888446  1.498371e-03
## 266                      No  1.579104e-01  0.313158018  4.187415e-03
## 267                      No  5.061556e-02  0.590497190  1.892106e-03
## 268                      No  8.053896e-02  0.595082845  3.074250e-03
## 269                      No  6.127858e-02  0.885913239  4.508683e-03
## 270                     Yes -2.435288e+01 -2.770980992  5.392716e-02
## 271                      No -2.422327e-01  0.937341422  5.676442e-03
## 272                      No  2.273465e-01 -0.116873448  4.267261e-03
## 273                      No -2.859147e-01  0.930649268  5.831510e-03
## 274                      No  1.487536e-01  0.360718345  4.099201e-03
## 275                      No  1.983399e-01  0.074535825  4.383376e-03
## 276                      No  2.650048e-01 -0.355920373  4.310081e-03
## 277                      No  2.313105e-01 -0.116265616  4.786574e-03
## 278                      No  2.705707e-01 -0.355066701  5.221813e-03
## 279                     Yes -4.166638e+00 -0.231364739 -2.541868e-01
## 280                      No  6.856960e-02  0.593248583  2.601392e-03
## 281                      No  1.804660e-01  0.120759673  3.363051e-03
## 282                      No  1.368256e-01  0.407853941  3.857846e-03
## 283                      No  2.723316e-01 -0.354796619  5.516396e-03
## 284                     Yes -1.455786e-01  0.315604181 -1.601547e-02
## 285                      No -2.422327e-01  0.937341422  5.676442e-03
## 286                      No  1.487536e-01  0.360718345  4.099201e-03
## 287                     Yes  4.856476e-02  0.345361769 -2.747119e-03
## 288                      No  1.340181e-01  0.358459743  3.090539e-03
## 289                     Yes -5.226736e-01  0.747477751 -2.763902e-03
## 290                     Yes -2.454084e-01  0.643063780 -5.332740e-03
## 291                     Yes  3.301060e-02  0.342977685 -3.808275e-03
## 292                     Yes  5.547881e-01 -2.270058973  7.935099e-04
## 293                      No -2.891808e-01  0.881183717  4.018387e-03
## 294                      No  1.194939e-01  0.552088923  4.282565e-03
## 295                      No  1.212348e-01  0.601319336  4.681964e-03
## 296                     Yes -6.876074e-01  0.771174463 -6.435640e-04
## 297                     Yes -2.625773e-01  0.738363879 -1.571465e-03
## 298                     Yes -4.429308e-02  0.673881666  3.790567e-04
## 299                     Yes  1.450586e-01  0.115331439 -1.347934e-04
## 300                      No  1.159171e-01  0.404649300  2.551582e-03
## 301                      No  5.327180e-02  0.688832012  3.148629e-03
## 302                     Yes  5.438970e-02  0.346254593 -2.349078e-03
## 303                      No  2.097291e-01 -0.119574922  1.959202e-03
## 304                      No -1.642293e-01  0.949291696  5.399535e-03
## 305                      No  4.562291e-02  0.736623726  3.422248e-03
## 306                      No  2.341733e-01 -0.115826627  5.161634e-03
## 307                     Yes  8.722789e-03  0.584077273  2.371057e-04
## 308                     Yes -6.312859e+00 -0.286681547 -1.776534e-01
## 309                      No  2.648891e-01 -0.453867461  1.615738e-03
## 310                     Yes  5.478419e-01 -2.271127033 -2.936784e-03
## 311                      No  1.733845e-01  0.119674026  2.663482e-03
## 312                      No  2.267621e-02  0.879998869  4.243104e-03
## 313                     Yes  2.393455e-01 -0.359855911  7.224909e-05
## 314                      No  5.490283e-02  0.835972906  4.268747e-03
## 315                      No  2.587730e-01 -0.258947186  5.625212e-03
## 316                     Yes -2.857557e+00  0.389731379 -3.119376e-02
## 317                      No  2.810859e-01 -0.500347721  3.137394e-03
## 318                     Yes -2.785419e-01  0.540054984 -1.111147e-02
## 319                     Yes  8.840674e-02  0.106646265 -5.731345e-03
## 320                     Yes -9.337865e-02  0.715324622  2.348226e-04
## 321                      No -9.877104e-02  0.910355859  4.329981e-03
## 322                     Yes -2.778585e-01  0.736022437 -1.839311e-03
## 323                     Yes -5.336595e-02  0.672491386  1.213817e-04
## 324                     Yes -1.928003e-02  0.628750285  1.533081e-04
## 325                     Yes  2.752579e-02  0.537994600  1.287416e-04
## 326                      No -6.996948e-02  0.865804381  3.605712e-03
## 327                      No  7.861969e-01 -3.703497391  7.543112e-03
## 328                     Yes -3.286339e-01  0.189612333 -3.551200e-02
## 329                      No  2.073068e-01 -0.119946375  1.641844e-03
## 330                      No  3.261121e-02  0.734629953  3.123156e-03
## 331                     Yes -5.908804e-02  0.524720833 -3.779974e-03
## 332                      No  1.733845e-01  0.119674026  2.663482e-03
## 333                      No  5.801490e-01 -2.364094146  6.548037e-03
## 334                     Yes -2.515043e-01  0.054535220 -3.931065e-02
## 335                     Yes  1.937248e-01 -0.513748824 -1.316342e-02
## 336                     Yes -1.129001e-01  0.614403889 -3.021288e-03
## 337                     Yes  2.798129e-01 -0.598472786 -2.105539e-04
## 338                      No  3.565385e-02  0.588204362  1.301035e-03
## 339                      No -6.486919e-03  0.728638976  2.226746e-03
## 340                      No  1.105109e-01  0.501748491  3.408988e-03
## 341                      No  1.189585e-01  0.552006867  4.258054e-03
## 342                     Yes -2.869608e-01  0.636696489 -6.514184e-03
## 343                     Yes  4.442991e-02  0.148869223 -8.464655e-03
## 344                      No -6.307022e-02  0.817897300  2.832291e-03
## 345                      No  3.692743e-02  0.735291325  3.223142e-03
## 346                      No  9.028784e-02  0.694504162  4.201236e-03
## 347                      No  2.330722e-01 -0.115995469  5.017380e-03
## 348                     Yes -3.397851e-01  0.285836935 -2.928296e-02
## 349                     Yes -6.876074e-01  0.771174463 -6.435640e-04
## 350                     Yes -2.066609e-02  0.628537886  1.086263e-04
## 351                      No  6.856960e-02  0.593248583  2.601392e-03
## 352                      No  7.854818e-01 -3.703607701  6.819654e-03
## 353                      No  1.030371e-01  0.647494244  4.303753e-03
## 354                     Yes -1.541840e-01  0.706007471 -1.159784e-03
## 355                      No  2.273465e-01 -0.116873448  4.267261e-03
## 356                      No  2.339531e-01 -0.115860395  5.132783e-03
## 357                      No  1.301138e-01  0.357861308  2.825467e-03
## 358                      No  1.765003e-01  0.120151711  2.971293e-03
## 359                     Yes -2.768964e-01  0.785135264  2.287145e-04
## 360                      No  3.059194e-03  0.730101720  2.446023e-03
## 361                      No  6.856960e-02  0.593248583  2.601392e-03
## 362                     Yes -4.173908e-01  0.812575052  1.215494e-03
## 363                      No -1.317333e-01  0.856341390  3.180785e-03
## 364                      No  7.455428e-02  0.594165714  2.837821e-03
## 365                      No  2.495264e-01 -0.260365264  4.222149e-03
## 366                      No  3.769843e-02  0.833336880  4.059264e-03
## 367                      No  2.744397e-02  0.929692905  4.537062e-03
## 368                      No  1.182424e-01  0.600860770  4.563750e-03
## 369                     Yes -1.630839e+00  0.479740702 -3.502943e-02
## 370                     Yes -1.009347e+00  0.770849094  2.838654e-03
## 371                     Yes -3.279044e-01  0.679388419 -5.144500e-03
## 372                     Yes  9.832081e-02  0.108166170 -4.751948e-03
## 373                     Yes -2.243790e-01  0.842146902  2.543393e-03
## 374                      No  1.289118e-01  0.259748934  1.230094e-03
## 375                      No  1.326061e-01  0.407207218  3.597114e-03
## 376                      No  1.083922e-01  0.648314866  4.485084e-03
## 377                     Yes  3.462854e-01 -1.322756052 -1.751936e-02
## 378                     Yes -1.556089e-01  0.754753967  3.034506e-04
## 379                      No -1.564388e-01  0.852556193  3.010814e-03
## 380                      No  1.620541e-01  0.117936991  1.544172e-03
## 381                      No  1.209604e-01  0.454386174  3.447520e-03
## 382                      No -2.796872e-03  0.778168378  2.981902e-03
## 383                      No  1.110608e-01  0.599760213  4.280036e-03
## 384                      No  2.337328e-01 -0.115894164  5.103932e-03
## 385                      No  1.732686e-01  0.266548329  4.796017e-03
## 386                     Yes -6.131219e+00 -0.013858352 -5.551690e-03
## 387                     Yes -5.336595e-02  0.672491386  1.213817e-04
## 388                      No  7.872851e-01 -3.703329528  8.644025e-03
## 389                     Yes  2.627464e-01 -0.601091029 -3.642094e-03
## 390                      No -6.486919e-03  0.728638976  2.226746e-03
## 391                      No  1.145596e-01  0.355477224  1.764311e-03
## 392                      No  3.692743e-02  0.735291325  3.223142e-03
## 393                     Yes -2.608236e-01  0.200006875 -3.006908e-02
## 394                     Yes  6.994386e-02  0.348638677 -1.287922e-03
## 395                      No  9.849300e-02  0.597834238  3.783535e-03
## 396                      No  1.903800e-01  0.122279578  4.342448e-03
## 397                      No  2.562884e-01 -0.259328231  5.244944e-03
## 398                     Yes -5.121492e-01  0.700123559 -5.946559e-03
## 399                      No -2.333059e-01  0.889744162  4.109918e-03
## 400                      No  1.044777e-01  0.598751369  4.019964e-03
## 401                      No  1.695853e-01  0.265983727  4.496019e-03
## 402                      No  1.573178e-01  0.362031040  4.682707e-03
## 403                     Yes -1.212586e+01 -1.079371713 -2.095089e-01
## 404                     Yes -9.189028e-01  0.441921965 -3.640934e-02
## 405                     Yes -2.880039e-01  0.734467915 -2.018453e-03
## 406                     Yes -3.745690e-02  0.674929205  5.718790e-04
## 407                      No -6.486919e-03  0.728638976  2.226746e-03
## 408                      No  1.098639e-01  0.599576787  4.232750e-03
## 409                      No  2.486127e-01 -0.211540986  5.168221e-03
## 410                      No  2.945849e-01 -0.596206550  2.774337e-03
## 411                      No -3.111919e-02  0.822792776  3.221331e-03
## 412                      No  7.963210e-02  0.643907645  3.510104e-03
## 413                     Yes -1.219709e+01 -1.041254107 -1.449132e-01
## 414                     Yes -1.408942e-01  0.561148997 -5.673611e-03
## 415                     Yes -2.065252e-01  0.746952382 -5.896559e-04
## 416                     Yes  1.238141e-01  0.112074499 -2.233500e-03
## 417                      No -2.819409e-02  0.725312802  1.728548e-03
## 418                      No  1.620541e-01  0.117936991  1.544172e-03
## 419                      No  1.003932e-01  0.402269948  1.585658e-03
## 420                      No  8.931579e-02  0.498500164  2.329850e-03
## 421                      No  9.375638e-02  0.499180720  2.555656e-03
## 422                      No  1.953647e-02  0.732626522  2.824931e-03
## 423                      No  2.079346e-01 -0.070885718  2.789872e-03
## 424                      No  4.562291e-02  0.736623726  3.422248e-03
## 425                      No  2.770201e-01 -0.403042037  5.092241e-03
## 426                      No  3.570073e-02  0.930957899  4.550912e-03
## 427                     Yes -5.112402e-02  0.574905962 -2.127181e-03
## 428                     Yes -5.106322e-01  0.847255772  3.655942e-03
## 429                     Yes  7.816574e-01 -3.704197619  2.950730e-03
## 430                      No  1.098997e-01  0.354762965  1.445878e-03
## 431                      No  6.258492e-02  0.592331452  2.364964e-03
## 432                      No  5.282767e-01 -2.029298702  6.144816e-03
## 433                     Yes  6.008082e-02  0.102303678 -8.529620e-03
## 434                      No  2.660739e-01 -0.355756392  4.486657e-03
## 435                      No  2.572065e-01 -0.357116460  3.014609e-03
## 436                      No  3.657017e-01 -0.977014619  5.390556e-03
## 437                     Yes  6.361455e-02  0.396632871 -7.136443e-04
## 438                      No  3.332198e-01 -0.835103817  2.835592e-03
## 439                      No  3.265485e-01 -0.787162380  3.063868e-03
## 440                      No  2.390847e-01 -0.261966637  2.644246e-03
## 441                      No  1.242889e-01  0.356968484  2.427425e-03
## 442                      No  1.811569e-01  0.071901431  2.579460e-03
## 443                      No  2.668287e-01 -0.355640633  4.603796e-03
## 444                     Yes  2.042454e-02  0.096224056 -1.244721e-02
## 445                     Yes -2.400298e-01  0.790783891  6.776070e-04
## 446                      No  6.919491e-02  0.544380487  2.010001e-03
## 447                      No -2.796872e-03  0.778168378  2.981902e-03
## 448                     Yes -6.738580e-02  0.082762036 -2.112186e-02
## 449                     Yes  1.946758e-01 -0.268777288 -4.077353e-03
## 450                      No  8.163580e-02  0.546287082  2.572014e-03
## 451                      No  6.856960e-02  0.593248583  2.601392e-03
## 452                      No  1.715925e-01  0.168363426  3.302820e-03
## 453                      No  6.017010e-01 -2.507682340  6.320273e-03
## 454                      No  2.418068e-02  0.831265717  3.894670e-03
## 455                      No  1.903800e-01  0.122279578  4.342448e-03
## 456                      No  4.583764e-02  0.883547491  4.402451e-03
## 457                     Yes  4.481003e-01 -1.649884761 -2.404391e-03
## 458                      No  9.849300e-02  0.597834238  3.783535e-03
## 459                      No -1.185443e-02  0.923672107  4.472362e-03
## 460                     Yes  1.238141e-01  0.112074499 -2.233500e-03
## 461                      No  4.261397e-02  0.834090030  4.119116e-03
## 462                     Yes  4.027656e-01 -1.314083933  8.326574e-04
## 463                      No  1.632199e-01  0.167079900  2.525379e-03
## 464                      No -5.502437e-02  0.966022079  5.011866e-03
## 465                      No  1.695853e-01  0.265983727  4.496019e-03
## 466                      No  2.317509e-01 -0.116198080  4.844276e-03
## 467                      No  9.107543e-02  0.694624847  4.222275e-03
## 468                      No  2.922143e-01 -0.498640637  5.215968e-03
## 469                      No  1.553342e-01  0.361726994  4.550605e-03
## 470                     Yes -2.489133e+01 -2.838945091  9.317896e-02
## 471                     Yes -4.659328e+00 -0.131284920 -1.841772e-01
## 472                      No  1.801827e-01  0.120716247  3.335068e-03
## 473                      No  9.514754e-02  0.548357789  3.183049e-03
## 474                      No  6.719169e-02  0.837855782  4.418377e-03
## 475                      No  8.293283e-02  0.595449697  3.168821e-03
## 476                     Yes -2.744230e+00  0.162197005 -1.085201e-01
## 477                      No  1.083011e-01  0.452445941  2.729101e-03
## 478                     Yes  1.612813e-01 -0.127003975 -4.387960e-03
## 479                      No  2.160204e-01 -0.069645878  3.794440e-03
## 480                      No  3.450314e-01 -0.833291285  5.669946e-03
## 481                      No  1.422799e-01  0.457653686  4.652476e-03
## 482                      No  2.317509e-01 -0.116198080  4.844276e-03
## 483                      No  2.707279e-01 -0.355042590  5.251532e-03
## 484                      No  6.884269e-02  0.446398391  4.985758e-04
## 485                      No -2.110313e-01  0.942121531  5.565679e-03
## 486                      No  2.686250e-01 -0.404329707  3.645572e-03
## 487                      No  1.847149e-01  0.121411061  3.782793e-03
## 488                     Yes  2.393455e-01 -0.359855911  7.224909e-05
## 489                      No  7.235264e-03  0.877633121  4.136872e-03
## 490                      No  1.044777e-01  0.598751369  4.019964e-03
## 491                      No  9.078921e-02  0.400797938  9.845859e-04
## 492                      No  7.156194e-02  0.593707148  2.719607e-03
## 493                      No  6.892186e-02  0.642266401  3.147441e-03
## 494                     Yes  8.840674e-02  0.106646265 -5.731345e-03
## 495                      No  2.288881e-01 -0.116637069  4.469216e-03
## 496                      No  1.164470e-01  0.600585631  4.492821e-03
## 497                      No  1.314956e-01  0.309109102  2.223660e-03
## 498                      No  2.834436e-01 -0.499986056  3.583174e-03
## 499                      No  1.124635e-01  0.502047742  3.509635e-03
## 500                      No  7.378418e-03  0.975582298  4.790341e-03
## 501                     Yes  1.297626e-01  0.112986442 -1.645862e-03
## 502                     Yes -4.402291e-01  0.858042030  3.770625e-03
## 503                      No  1.240317e-01  0.210036628 -8.256609e-05
## 504                      No  2.465151e-01 -0.358756268  1.248846e-03
## 505                      No -2.497476e-02  0.823734214  3.296146e-03
## 506                      No  4.140617e-01 -1.312349509  4.503060e-03
## 507                      No  1.803625e-02  0.830324279  3.819854e-03
## 508                      No  1.534135e-01  0.361432605  4.417635e-03
## 509                      No  4.583764e-02  0.883547491  4.402451e-03
## 510                     Yes -1.086511e-02  0.483146621 -2.763028e-03
## 511                     Yes  1.280630e-01  0.112725887 -1.813759e-03
## 512                     Yes -1.423442e-01  0.756786435  5.352938e-04
## 513                      No  3.864619e-02  0.588662928  1.419249e-03
## 514                      No  9.151629e-02  0.449873440  1.780537e-03
## 515                      No  9.605101e-02  0.450568449  2.036929e-03
## 516                      No  4.189919e-02  0.687089332  2.826970e-03
## 517                      No  1.044777e-01  0.598751369  4.019964e-03
## 518                      No  2.696587e-01 -0.355206571  5.074956e-03
## 519                      No  1.784580e-01  0.218379909  4.620027e-03
## 520                     Yes  2.835547e-01 -0.842725137 -9.074291e-03
## 521                      No  5.426349e-02  0.493128113  5.487854e-04
## 522                      No  1.277310e-01  0.455423860  3.832542e-03
## 523                      No  8.956329e-02  0.694393134  4.179329e-03
## 524                      No  9.863616e-02  0.695783415  4.437004e-03
## 525                      No  1.445158e-01  0.457996362  4.781106e-03
## 526                      No  8.951598e-02  0.596458541  3.428892e-03
## 527                      No  1.774821e-01  0.218230316  4.537815e-03
## 528                      No  1.468330e-01  0.360423956  3.966231e-03
## 529                      No  6.258492e-02  0.592331452  2.364964e-03
## 530                      No  3.124839e-01 -0.691390337  3.307182e-03
## 531                      No  1.550139e-01  0.312714036  3.972233e-03
## 532                      No  2.147310e-01 -0.020879349  4.554388e-03
## 533                     Yes -1.174313e+00  0.598664328 -1.755347e-02
## 534                     Yes  7.897491e-02 -0.384453025 -2.641420e-02
## 535                      No  2.800556e-01 -0.549470596  1.452900e-03
## 536                      No  1.912265e-01 -0.024483240  1.785378e-03
## 537                      No -6.486919e-03  0.728638976  2.226746e-03
## 538                      No  1.231963e-01  0.454728850  3.576150e-03
## 539                      No -3.259089e-02  0.920495133  4.439041e-03
## 540                      No  3.646954e-02  0.833148593  4.044300e-03
## 541                      No  4.187684e-01 -1.311626832  6.032395e-03
## 542                      No  2.273465e-01 -0.116873448  4.267261e-03
## 543                      No  1.988778e-01  0.123582354  5.181930e-03
## 544                     Yes  3.745255e-01 -1.318419992 -8.343350e-03
## 545                     Yes  1.167327e-01  0.110988852 -2.933069e-03
## 546                      No  7.411608e-03  0.779732558  3.160176e-03
## 547                      No  6.306923e-02  0.690333320  3.428211e-03
## 548                      No  2.917428e-01 -0.498712970  5.126811e-03
## 549                      No  1.134547e-01  0.600127065  4.374607e-03
## 550                      No -9.256348e-02  0.813378398  2.473177e-03
## 551                      No  1.818823e-01  0.120976802  3.502965e-03
## 552                      No  1.030371e-01  0.647494244  4.303753e-03
## 553                      No  3.202546e-01 -0.739163063  3.350714e-03
## 554                      No  1.960452e-01  0.123148096  4.902103e-03
## 555                      No -7.214001e-03  0.679563474  1.430796e-03
## 556                      No  5.327180e-02  0.688832012  3.148629e-03
## 557                     Yes -5.322284e-02  0.084933330 -1.972272e-02
## 558                      No  7.275887e-02  0.593890575  2.766892e-03
## 559                      No -6.996948e-02  0.865804381  3.605712e-03
## 560                     Yes -1.020351e+00  0.524315473 -2.734292e-02
## 561                     Yes  1.167327e-01  0.110988852 -2.933069e-03
## 562                      No  1.719682e-01  0.119456897  2.523569e-03
## 563                     Yes -6.729222e-02  0.719321825  8.321394e-04
## 564                      No  2.855499e-01 -0.499662956  3.968650e-03
## 565                      No  2.302094e-01 -0.116434459  4.642320e-03
## 566                      No  1.841828e-01  0.170293544  4.468548e-03
## 567                      No  6.127858e-02  0.885913239  4.508683e-03
## 568                      No  1.150704e-01  0.649338229  4.711965e-03
## 569                     Yes -2.061730e+01 -2.233229729 -2.928224e-02
## 570                     Yes -4.946663e+00  0.069642521 -5.663100e-02
## 571                     Yes  1.524242e-01  0.067496299 -4.363947e-04
## 572                     Yes  3.231675e-01 -0.836646398  4.233760e-04
## 573                      No  5.660024e-02  0.591414321  2.128535e-03
## 574                      No  8.705311e-02  0.547117296  2.816255e-03
## 575                      No  2.053230e-01 -0.022321865  3.440493e-03
## 576                      No  7.427698e-02  0.643087023  3.328773e-03
## 577                      No  2.013590e-01  0.026034582  3.886556e-03
## 578                     Yes -1.464402e-01  0.756158831  4.641577e-04
## 579                      No  7.543940e-04  0.631820373  8.339508e-04
## 580                      No  1.221119e-01  0.258706582  6.860623e-04
## 581                      No  7.843314e-01 -3.703785156  5.655832e-03
## 582                      No  1.542582e-01  0.312598212  3.918871e-03
## 583                      No  1.098639e-01  0.599576787  4.232750e-03
## 584                     Yes -5.226736e-01  0.747477751 -2.763902e-03
## 585                     Yes  1.167327e-01  0.110988852 -2.933069e-03
## 586                      No  6.709445e-01 -2.986709764  3.365019e-03
## 587                      No  1.095534e-01  0.354709881  1.418763e-03
## 588                      No  9.422451e-02  0.450288514  1.934545e-03
## 589                      No  2.013590e-01  0.026034582  3.886556e-03
## 590                      No  8.351471e-02  0.693466280  4.007546e-03
## 591                      No  2.572065e-01 -0.357116460  3.014609e-03
## 592                      No  6.839325e-02  0.691149146  3.578088e-03
## 593                     Yes -4.983218e-01  0.408439891 -2.755174e-02
## 594                     Yes  2.037496e-01 -0.365315498 -5.814207e-03
## 595                      No -2.796872e-03  0.778168378  2.981902e-03
## 596                      No  2.398999e-01 -0.212877139  3.917224e-03
## 597                      No  1.014853e-01  0.598292803  3.901750e-03
## 598                      No  4.049248e-01 -1.215820956  6.240782e-03
## 599                     Yes -4.832429e+00 -0.304790936 -2.769906e-01
## 600                     Yes -2.400848e-01  0.399050876 -1.699206e-02
## 601                     Yes  3.106020e-01 -0.838574623 -2.591894e-03
## 602                      No  1.796776e-01  0.022710366  1.475038e-03
## 603                      No  1.629039e-01  0.118067269  1.628120e-03
## 604                      No  1.145596e-01  0.355477224  1.764311e-03
## 605                      No  1.068716e-01  0.599118221  4.114536e-03
## 606                      No  7.602556e-02  0.741282301  4.119551e-03
## 607                      No  1.553342e-01  0.361726994  4.550605e-03
## 608                      No  4.154737e-01 -1.312132706  4.961861e-03
## 609                     Yes -6.209777e+00  0.072099582  5.899439e-02
## 610                     Yes -8.104742e-02  0.570320307 -3.309324e-03
## 611                     Yes -3.383407e-01  0.775720885 -5.194395e-04
## 612                      No  4.935052e-02  0.492375158  2.976011e-04
## 613                      No -4.340805e-02  0.820909901  3.071700e-03
## 614                     Yes  7.329730e-02 -1.364671294 -1.062208e-01
## 615                     Yes  7.818440e-01 -3.704168843  3.139458e-03
## 616                      No  6.083253e-02  0.689990579  3.363359e-03
## 617                      No  2.013590e-01  0.026034582  3.886556e-03
## 618                     Yes -2.606237e-01  0.346936803 -2.095857e-02
## 619                     Yes -1.667106e-01  0.410296514 -1.283729e-02
## 620                      No  1.068141e-01  0.354290011  1.233299e-03
## 621                      No -1.755263e-01  0.923078704  4.833268e-03
## 622                      No  1.847149e-01  0.121411061  3.782793e-03
## 623                     Yes  1.196828e-02  0.192857862 -9.762373e-03
## 624                      No  6.610505e-02  0.494942929  1.150933e-03
## 625                      No  4.343394e-02  0.589396633  1.608392e-03
## 626                      No  1.822580e-01  0.023105995  1.758338e-03
## 627                      No  6.856960e-02  0.593248583  2.601392e-03
## 628                      No  1.262095e-01  0.357262872  2.560395e-03
## 629                      No  4.168857e-01 -1.311915903  5.420661e-03
## 630                      No -1.518240e-02  0.727306575  2.027641e-03
## 631                      No  2.810859e-01 -0.500347721  3.137394e-03
## 632                      No  1.647648e-01  0.216280818  3.437600e-03
## 633                      No  1.647648e-01  0.216280818  3.437600e-03
## 634                      No  2.776553e-02  0.782851260  3.517592e-03
## 635                      No  3.032511e-02  0.832207155  3.969485e-03
## 636                     Yes -5.112402e-02  0.574905962 -2.127181e-03
## 637                      No  2.469771e-01 -0.211791819  4.935680e-03
## 638                      No  1.946289e-01  0.122930966  4.762189e-03
## 639                      No -2.096312e+01 -2.141193612  2.890794e-01
## 640                      No  7.849532e-01 -3.703689234  6.284925e-03
## 641                     Yes  3.462317e-01 -0.980002879  2.385575e-04
## 642                      No  1.512633e-01  0.263175173  3.026613e-03
## 643                     Yes  9.710870e-03  0.339406388 -5.400443e-03
## 644                     Yes -2.768964e-01  0.785135264  2.287145e-04
## 645                     Yes  1.119750e-01  0.257152712 -1.308530e-04
## 646                      No -7.452863e-02  0.763741283  1.652648e-03
## 647                      No  3.452438e-01 -0.931189107  2.014603e-03
## 648                      No  1.282733e-01  0.504470716  4.312210e-03
## 649                      No  4.199921e-01 -1.311438936  6.430022e-03
## 650                     Yes  8.840674e-02  0.106646265 -5.731345e-03
## 651                      No  7.491898e-02  0.398365501 -8.452592e-06
## 652                      No  7.235264e-03  0.877633121  4.136872e-03
## 653                      No  1.499135e-01  0.311932240  3.596098e-03
## 654                      No  3.305289e-01 -0.737586584  5.664226e-03
## 655                      No  5.660024e-02  0.591414321  2.128535e-03
## 656                      No  2.901710e-01 -0.498954080  4.829624e-03
## 657                      No  2.696587e-01 -0.355206571  5.074956e-03
## 658                     Yes  3.105275e-02  0.489570878 -6.301316e-04
## 659                      No  3.855568e-01 -1.120863172  4.803563e-03
## 660                      No  1.233049e-01  0.552672970  4.453273e-03
## 661                     Yes -7.743813e-01  0.863069789  8.198511e-03
## 662                      No  2.692813e-01 -0.355264450  5.016386e-03
## 663                      No  1.331862e-01  0.505223671  4.563394e-03
## 664                      No  3.346185e-02  0.734760296  3.143326e-03
## 665                      No  1.939968e-01  0.073869983  3.933048e-03
## 666                      No  2.026198e-01  0.075192009  4.834572e-03
## 667                     Yes  1.343880e-01  0.162659922 -1.383984e-04
## 668                     Yes  1.343880e-01  0.162659922 -1.383984e-04
## 669                      No  7.860414e-01 -3.703521371  7.385838e-03
## 670                     Yes -2.980445e+00  0.370902623 -3.269007e-02
## 671                      No  3.864619e-02  0.588662928  1.419249e-03
## 672                      No  5.980746e-01 -2.508240187  4.138410e-03
## 673                     Yes -1.708176e-01  0.556563342 -6.855754e-03
## 674                      No  6.217133e-02  0.543304106  1.692228e-03
## 675                      No  2.572065e-01 -0.357116460  3.014609e-03
## 676                      No  1.254952e-01  0.455081184  3.703912e-03
## 677                      No  3.064655e-01 -0.594383904  5.161382e-03
## 678                      No  3.836040e-02  0.539655028  6.172225e-04
## 679                      No  7.555078e-01 -3.512347368  6.215784e-03
## 680                      No  1.827320e-01  0.121107080  3.586913e-03
## 681                      No -1.008514e-01  0.861072885  3.393248e-03
## 682                     Yes -8.139566e-02 -0.409050139 -5.290065e-02
## 683                     Yes -1.036450e-01  0.468927339 -7.479564e-03
## 684                      No  4.818249e-02  0.785979620  3.874141e-03
## 685                      No  2.273465e-01 -0.116873448  4.267261e-03
## 686                     Yes -1.260189e-02  0.629773648  3.801890e-04
## 687                      No  1.488746e-01  0.311772990  3.514753e-03
## 688                      No  1.322657e-01  0.456118870  4.088934e-03
## 689                      No  8.173590e-02  0.595266271  3.121535e-03
## 690                      No  1.903800e-01  0.122279578  4.342448e-03
## 691                     Yes -3.275143e-01  0.581516275 -1.030078e-02
## 692                      No  1.233603e-01  0.503717762  4.061025e-03
## 693                      No  1.378594e-01  0.359048521  3.356479e-03
## 694                      No  4.429354e-02  0.883310916  4.391828e-03
## 695                      No  6.227615e-02  0.837102631  4.358525e-03
## 696                      No  2.795142e-01 -0.500588831  2.840206e-03
## 697                      No  7.849532e-01 -3.703689234  6.284925e-03
## 698                     Yes -1.424948e-01  0.722911182 -4.425816e-04
## 699                      No  1.441205e-01  0.311044277  3.165733e-03
## 700                      No -1.642293e-01  0.949291696  5.399535e-03
## 701                      No  3.669893e-01 -0.976817000  5.723538e-03
## 702                      No  1.478912e-01  0.115765698  1.450342e-04
## 703                      No  1.044777e-01  0.598751369  4.019964e-03
## 704                      No  3.127378e-02  0.538568989  3.003175e-04
## 705                      No  1.378594e-01  0.359048521  3.356479e-03
## 706                      No  1.917963e-01  0.122496708  4.482361e-03
## 707                     Yes -2.971973e-01  0.488230047 -1.453003e-02
## 708                      No  2.644702e-01 -0.356002363  4.221793e-03
## 709                      No  3.032511e-02  0.832207155  3.969485e-03
## 710                      No  5.965115e-01 -2.508480644  3.203449e-03
## 711                      No -3.111919e-02  0.822792776  3.221331e-03
## 712                      No -2.796872e-03  0.778168378  2.981902e-03
## 713                      No  1.525855e-01  0.263377849  3.135940e-03
## 714                      No  2.582384e-01 -0.259029176  5.536923e-03
## 715                      No  7.214210e-02  0.691723601  3.685886e-03
## 716                      No  7.833986e-01 -3.703929039  4.712191e-03
## 717                      No  3.155400e-02  0.832395442  3.984448e-03
## 718                      No  3.646954e-02  0.833148593  4.044300e-03
## 719                      No  2.123564e-02  0.928741744  4.526892e-03
## 720                      No  2.906425e-01 -0.498881747  4.918780e-03
## 721                      No  2.922143e-01 -0.498640637  5.215968e-03
## 722                      No  6.350503e-02  0.837290919  4.373488e-03
## 723                      No  1.262095e-01  0.357262872  2.560395e-03
## 724                      No  4.571108e-02  0.687673444  2.933900e-03
## 725                      No  1.436843e-01  0.359941345  3.754521e-03
## 726                     Yes -1.608613e-01  0.068431499 -3.035617e-02
## 727                      No  1.217042e-01  0.307608250  1.497637e-03
## 728                      No  6.856960e-02  0.593248583  2.601392e-03
## 729                      No  8.652364e-02  0.595999976  3.310678e-03
## 730                      No  1.932126e-01  0.122713837  4.622275e-03
## 731                      No  1.110608e-01  0.599760213  4.280036e-03
## 732                      No  1.056746e-01  0.598934795  4.067250e-03
## 733                      No  2.580554e-01 -0.356986248  3.162335e-03
## 734                      No  8.903725e-02  0.743276074  4.418644e-03
## 735                      No  7.837095e-01 -3.703881078  5.026738e-03
## 736                      No  1.974615e-01  0.123365225  5.042017e-03
## 737                      No  1.072218e-01  0.305388343  4.217252e-04
## 738                      No  1.626206e-01  0.118023843  1.600138e-03
## 739                      No  7.595398e-02  0.692307713  3.792817e-03
## 740                      No  9.028784e-02  0.694504162  4.201236e-03
## 741                      No  4.188625e-01 -1.311612379  6.062982e-03
## 742                     Yes  1.947898e-01 -0.170830331 -1.255456e-03
## 743                      No  1.159171e-01  0.404649300  2.551582e-03
## 744                      No  9.550066e-02  0.597375672  3.665321e-03
## 745                      No  5.022886e-02  0.933183712  4.574063e-03
## 746                     Yes -9.773614e-01  0.677811352 -8.300242e-03
## 747                      No -4.340805e-02  0.820909901  3.071700e-03
## 748                      No  1.678538e-01  0.265718311  4.360445e-03
## 749                      No  1.054314e-01  0.403042152  1.898884e-03
## 750                      No  1.242931e-01  0.405933088  3.073914e-03
## 751                      No  1.130858e-01  0.649034117  4.643640e-03
## 752                      No  1.631428e-01  0.362923864  5.080748e-03
## 753                     Yes  3.716269e-02  0.441542980 -1.297037e-03
## 754                     Yes  3.454856e-02  0.490106637 -4.550838e-04
## 755                      No  3.241106e-01 -0.689606451  5.825253e-03
## 756                     Yes -2.047518e-01  0.404466158 -1.499168e-02
## 757                      No  2.691717e-01 -0.502175359  9.102260e-04
## 758                      No  1.762171e-01  0.120108285  2.943310e-03
## 759                      No  6.839325e-02  0.691149146  3.578088e-03
## 760                      No  8.498722e-02  0.644728267  3.691435e-03
## 761                      No  1.002884e-01  0.598109377  3.854464e-03
## 762                      No  1.282733e-01  0.504470716  4.312210e-03
## 763                     Yes -2.489693e-02  0.089275917 -1.692445e-02
## 764                     Yes  2.037496e-01 -0.365315498 -5.814207e-03
## 765                     Yes -3.324656e-01  0.825586666  1.799770e-03
## 766                      No  2.097291e-01 -0.119574922  1.959202e-03
## 767                      No -4.705598e-02  0.918278978  4.415021e-03
## 768                      No  1.627854e-01  0.264941376  3.951987e-03
## 769                      No  2.664513e-01 -0.355698513  4.545227e-03
## 770                     Yes -2.907998e-02  0.333460665 -8.054634e-03
## 771                     Yes -2.907998e-02  0.333460665 -8.054634e-03
## 772                      No  6.719169e-02  0.837855782  4.418377e-03
## 773                      No  4.463087e-02  0.589580059  1.655678e-03
## 774                      No  9.849300e-02  0.597834238  3.783535e-03
## 775                      No  1.692390e-01  0.265930644  4.468904e-03
## 776                     Yes  3.716269e-02  0.441542980 -1.297037e-03
## 777                     Yes  1.119750e-01  0.257152712 -1.308530e-04
## 778                      No  3.815035e-02  0.686514877  2.719171e-03
## 779                      No -3.908758e-02  0.870535877  3.818176e-03
## 780                      No  2.853927e-01 -0.499687067  3.938931e-03
## 781                      No  1.085583e-01  0.501449241  3.308341e-03
## 782                      No  1.883972e-01  0.121975597  4.146568e-03
## 783                      No  2.267621e-02  0.879998869  4.243104e-03
## 784                     Yes  5.104925e-02 -0.045976304 -1.474473e-02
## 785                      No  3.103784e-01 -0.691713372  2.857929e-03
## 786                      No  2.207400e-01 -0.117886501  3.401739e-03
## 787                      No  1.803625e-02  0.830324279  3.819854e-03
## 788                      No  1.864144e-01  0.121671616  3.950689e-03
## 789                      No  1.104624e-01  0.599668500  4.256393e-03
## 790                      No  2.708850e-01 -0.355018479  5.281251e-03
## 791                      No  9.936071e-02  0.695894443  4.458911e-03
## 792                      No  4.161326e-01 -1.312031531  5.175968e-03
## 793                      No  7.857305e-01 -3.703569332  7.071292e-03
## 794                      No  2.870223e-01 -0.450472413  5.583290e-03
## 795                      No  2.108302e-01 -0.119406080  2.103456e-03
## 796                      No  5.832793e-02  0.787534143  4.053283e-03
## 797                      No  2.874360e-01 -0.499373624  4.325274e-03
## 798                      No  1.847149e-01  0.121411061  3.782793e-03
## 799                     Yes -7.566484e-01  0.662660501 -1.023208e-02
## 800                      No -5.190423e-02  0.966500090  5.000790e-03
## 801                      No  2.241063e-01 -0.068406039  4.799008e-03
## 802                      No  3.811716e-02  0.882364617  4.349335e-03
## 803                     Yes -4.700517e-01  0.510706791 -1.867719e-02
## 804                      No  6.839325e-02  0.691149146  3.578088e-03
## 805                      No  1.661854e-01  0.265462552  4.224003e-03
## 806                      No -1.549243e-03  0.925250936  4.489891e-03
## 807                      No  2.708850e-01 -0.355018479  5.281251e-03
## 808                      No  7.874489e-02  0.790662503  4.409831e-03
## 809                      No  1.043601e-01  0.647696985  4.349303e-03
## 810                      No  7.843314e-01 -3.703785156  5.655832e-03
## 811                      No  1.875474e-01  0.121845320  4.062620e-03
## 812                      No  2.092575e-01  0.027245580  4.766173e-03
## 813                      No  7.333612e-02  0.838797219  4.493193e-03
## 814                      No  2.053248e-01 -0.120250290  1.382187e-03
## 815                      No  1.281932e-01  0.357566919  2.692497e-03
## 816                      No  9.071292e-02  0.596641968  3.476178e-03
## 817                      No  2.874360e-01 -0.499373624  4.325274e-03
## 818                      No  7.825166e-02  0.839550370  4.553045e-03
## 819                     Yes  1.450586e-01  0.115331439 -1.347934e-04
## 820                      No -1.174272e-01  0.956461860  5.233391e-03
## 821                      No  1.517711e-01  0.312216972  3.729936e-03
## 822                      No  1.932126e-01  0.122713837  4.622275e-03
## 823                      No  1.110383e-01  0.648720348  4.576183e-03
## 824                     Yes  2.051745e-01 -0.414061994 -7.277442e-03
## 825                      No  4.738722e-02  0.736894069  3.461722e-03
## 826                      No  1.104624e-01  0.599668500  4.256393e-03
## 827                      No  4.121790e-01 -1.312638580  3.891327e-03
## 828                      No  1.434959e-02  0.829759416  3.774965e-03
## 829                      No  1.949122e-01  0.122974392  4.790172e-03
## 830                      No  1.509170e-01  0.263122090  2.999498e-03
## 831                      No  1.440937e-01  0.360004086  3.780768e-03
## 832                      No  2.291083e-01 -0.116603301  4.498067e-03
## 833                      No  7.255997e-02  0.740751272  4.039736e-03
## 834                     Yes  4.856476e-02  0.345361769 -2.747119e-03
## 835                     Yes  2.728039e-01 -0.599548057 -1.612541e-03
## 836                      No  3.332198e-01 -0.835103817  2.835592e-03
## 837                      No  2.572065e-01 -0.357116460  3.014609e-03
## 838                      No  1.733845e-01  0.119674026  2.663482e-03
## 839                      No  1.647648e-01  0.216280818  3.437600e-03
## 840                     Yes  1.592134e-01 -0.372140702 -7.751639e-03
## 841                     Yes -7.692857e-01  0.464850241 -3.049862e-02
## 842                      No  1.208723e-01  0.503336456  3.935867e-03
## 843                     Yes  2.228300e-01 -0.313424200 -1.189958e-03
## 844                      No  1.395087e-01  0.457228954  4.499335e-03
## 845                     Yes  7.569704e-01 -3.708005711 -2.202428e-02
## 846                      No  1.950350e-01 -0.072863667  1.182042e-03
## 847                      No -9.256348e-02  0.813378398  2.473177e-03
## 848                      No  1.289118e-01  0.259748934  1.230094e-03
## 849                      No  1.774821e-01  0.218230316  4.537815e-03
## 850                      No  5.424256e-02  0.640016934  2.648130e-03
## 851                      No  2.459390e-01 -0.211951003  4.790558e-03
## 852                      No  1.774821e-01  0.218230316  4.537815e-03
## 853                      No  1.974615e-01  0.123365225  5.042017e-03
## 854                     Yes -4.638980e-02  0.477702172 -4.569472e-03
## 855                      No  2.536217e-01 -0.357666282  2.426311e-03
## 856                      No -2.796872e-03  0.778168378  2.981902e-03
## 857                      No  8.053896e-02  0.595082845  3.074250e-03
## 858                      No  1.771989e-01  0.218186891  4.509832e-03
## 859                      No  9.107543e-02  0.694624847  4.222275e-03
## 860                      No  8.295672e-02  0.742344359  4.279183e-03
## 861                      No  2.937861e-01 -0.498399528  5.513155e-03
## 862                      No  1.038971e-01  0.696589583  4.587749e-03
## 863                      No  1.035823e-01  0.500686629  3.058024e-03
## 864                      No  1.297534e-01  0.504697568  4.387478e-03
## 865                      No  1.580735e-01  0.362146864  4.736068e-03
## 866                      No  2.053248e-01 -0.120250290  1.382187e-03
## 867                      No  7.854196e-01 -3.703617293  6.756745e-03
## 868                      No  3.999049e-02  0.784724413  3.731868e-03
## 869                      No  8.381761e-02  0.791439764  4.499402e-03
## 870                     Yes  5.975266e-02  0.200182968 -5.637869e-03
## 871                      No  7.827768e-01 -3.704024960  4.083098e-03
## 872                      No  8.351471e-02  0.693466280  4.007546e-03
## 873                      No  1.932126e-01  0.122713837  4.622275e-03
## 874                      No  1.331862e-01  0.505223671  4.563394e-03
## 875                      No  1.200379e-01  0.601135910  4.634679e-03
## 876                      No  7.702278e-02  0.839362082  4.538082e-03
## 877                     Yes -2.243790e-01  0.842146902  2.543393e-03
## 878                      No  4.945992e-02  0.688247899  3.041699e-03
## 879                      No  1.703964e-01  0.168180065  3.191757e-03
## 880                      No  1.970480e-01  0.025373602  3.403905e-03
## 881                      No  1.903800e-01  0.122279578  4.342448e-03
## 882                      No  2.717970e-01 -0.354878609  5.428108e-03
## 883                      No  2.348339e-01 -0.115725322  5.248186e-03
## 884                      No  1.522865e-01  0.410223636  4.824638e-03
## 885                     Yes  2.215475e-01 -0.362585705 -2.870979e-03
## 886                      No  2.302890e-02  0.684197743  2.289713e-03
## 887                      No  3.344764e-01 -0.834910995  3.137119e-03
## 888                      No  9.849300e-02  0.597834238  3.783535e-03
## 889                      No  9.107543e-02  0.694624847  4.222275e-03
## 890                      No  4.198980e-01 -1.311453390  6.399435e-03
## 891                     Yes -4.944328e-03  0.484054030 -2.461954e-03
## 892                     Yes -1.662966e-01  0.802081144  1.575392e-03
## 893                      No -1.934971e-01  0.846878398  2.755857e-03
## 894                      No  2.625522e-01 -0.356296556  3.897491e-03
## 895                      No  2.324115e-01 -0.116096774  4.930828e-03
## 896                     Yes  1.986009e-01 -0.219210562 -2.050123e-03
## 897                      No  2.019247e-01 -0.022842910  3.040923e-03
## 898                      No  1.405727e-01  0.408428265  4.093199e-03
## 899                      No  1.233603e-01  0.503717762  4.061025e-03
## 900                     Yes -5.437223e-01  0.842186135  3.601412e-03
## 901                      No  7.427698e-02  0.643087023  3.328773e-03
## 902                      No  1.404534e-01  0.457373751  4.550093e-03
## 903                      No  9.341651e-02  0.743947104  4.517763e-03
## 904                      No  1.467516e-01  0.458339038  4.909736e-03
## 905                      No  1.677193e-01  0.118805509  2.103827e-03
## 906                      No  2.983251e-01 -0.595632748  3.519909e-03
## 907                      No  1.610539e-01  0.264675959  3.816414e-03
## 908                      No  7.602556e-02  0.741282301  4.119551e-03
## 909                      No  1.074700e-01  0.599209934  4.138178e-03
## 910                      No  1.640496e-01  0.314099064  4.644894e-03
## 911                     Yes  1.054023e-01  0.109251817 -4.052379e-03
## 912                      No  2.678978e-01 -0.355476653  4.780372e-03
## 913                      No  9.561187e-02  0.695319988  4.351113e-03
## 914                      No  7.849221e-01 -3.703694030  6.253470e-03
## 915                      No  9.375638e-02  0.499180720  2.555656e-03
## 916                      No  2.607282e-01 -0.356576296  3.603776e-03
## 917                      No  4.557306e-01 -1.550780185  6.276095e-03
## 918                      No  1.534135e-01  0.361432605  4.417635e-03
## 919                      No  2.409492e-01 -0.359609940  3.371136e-04
## 920                      No  8.070943e-02  0.839926945  4.582971e-03
## 921                      No -2.333059e-01  0.889744162  4.109918e-03
## 922                      No  1.191340e-01  0.454106239  3.345136e-03
## 923                      No  1.971783e-01  0.123321799  5.014034e-03
## 924                      No  3.032511e-02  0.832207155  3.969485e-03
## 925                      No  1.475886e-01  0.360539780  4.019593e-03
## 926                     Yes  9.497518e-02  0.254546834 -1.490932e-03
## 927                      No  7.838452e-02  0.447860809  1.036739e-03
## 928                      No  3.864619e-02  0.588662928  1.419249e-03
## 929                      No  2.141335e-01 -0.118899553  2.536217e-03
## 930                      No  2.181293e-01 -0.020358304  4.953959e-03
## 931                      No  7.456500e-02  0.838985507  4.508156e-03
## 932                      No  2.732435e-01 -0.354656749  5.663254e-03
## 933                     Yes -1.630520e-01  0.166028112 -2.488816e-02
## 934                     Yes -2.415965e-01  0.643647892 -5.225809e-03
## 935                     Yes -1.408942e-01  0.561148997 -5.673611e-03
## 936                      No  1.359387e-01  0.358754132  3.223509e-03
## 937                      No  2.890077e-01 -0.499132514  4.622461e-03
## 938                      No  1.140532e-01  0.600218779  4.398250e-03
## 939                     Yes  1.308956e-01  0.113160145 -1.533931e-03
## 940                      No  2.880647e-01 -0.499277180  4.444149e-03
## 941                      No  3.441203e-01 -0.833431090  5.459311e-03
## 942                     Yes -2.277409e-01  0.792666766  8.272378e-04
## 943                     Yes  2.304780e-01 -0.361215979 -1.399799e-03
## 944                      No  6.856960e-02  0.593248583  2.601392e-03
## 945                      No  1.847149e-01  0.121411061  3.782793e-03
## 946                      No  1.475886e-01  0.360539780  4.019593e-03
## 947                      No  9.863616e-02  0.695783415  4.437004e-03
## 948                     Yes  2.915089e-02 -0.147265030 -2.169840e-02
## 949                     Yes  3.691490e-02  0.343576120 -3.543203e-03
## 950                      No  2.823195e-02  0.733958924  3.024037e-03
## 951                      No  3.382460e-01 -0.834332527  4.041700e-03
## 952                      No  5.747392e-03  0.828441403  3.670223e-03
## 953                      No  7.868187e-01 -3.703401469  8.172205e-03
## 954                      No  1.447922e-01  0.409074988  4.353932e-03
## 955                      No  5.981837e-02  0.836726056  4.328599e-03
## 956                     Yes  1.420075e-01  0.065899264 -1.536402e-03
## 957                      No  1.068141e-01  0.354290011  1.233299e-03
## 958                      No  1.875474e-01  0.121845320  4.062620e-03
## 959                     Yes -1.261832e-01  0.318577042 -1.468838e-02
## 960                     Yes -1.261832e-01  0.318577042 -1.468838e-02
## 961                      No  9.516422e-02  0.352504362  4.372156e-04
## 962                      No  1.902826e-01 -0.024627971  1.670843e-03
## 963                      No  6.301386e-02  0.739288528  3.820459e-03
## 964                      No  2.104847e-01  0.027433737  4.908691e-03
## 965                      No  1.569085e-01  0.361968299  4.656460e-03
## 966                     Yes -7.526053e-02  0.669136370 -5.017669e-04
## 967                      No  2.009205e-01 -0.120925659  8.051726e-04
## 968                      No  4.084137e-01 -1.313216721  2.667859e-03
## 969                      No  6.856960e-02  0.593248583  2.601392e-03
## 970                      No  6.911781e-02  0.691260174  3.599995e-03
## 971                      No  2.922143e-01 -0.498640637  5.215968e-03
## 972                      No  2.328520e-01 -0.116029237  4.988529e-03
## 973                      No -2.796872e-03  0.778168378  2.981902e-03
## 974                      No  7.849532e-01 -3.703689234  6.284925e-03
## 975                      No  9.866935e-02  0.499933675  2.806840e-03
## 976                      No  8.951598e-02  0.596458541  3.428892e-03
## 977                      No  1.435011e-01  0.408877108  4.276059e-03
## 978                      No  3.071883e-01 -0.594273006  5.310844e-03
## 979                      No  2.900138e-01 -0.498978191  4.799906e-03
## 980                      No  2.357148e-01 -0.115590248  5.363589e-03
## 981                     Yes  2.236409e-01 -0.460194586 -5.787033e-03
## 982                      No  6.856960e-02  0.593248583  2.601392e-03
## 983                      No -1.298127e-01  0.905600057  4.279130e-03
## 984                      No  2.491879e-01 -0.358346316  1.690287e-03
## 985                      No  2.395527e-01 -0.163966009  4.919262e-03
## 986                     Yes  5.983629e-02  0.445018029 -1.507650e-05
## 987                      No  9.247041e-02  0.547947510  3.060495e-03
## 988                     Yes  1.167327e-01  0.110988852 -2.933069e-03
## 989                     Yes  2.046400e-01 -0.218284426 -1.176789e-03
## 990                      No  2.273465e-01 -0.116873448  4.267261e-03
## 991                      No  1.889637e-01  0.122062449  4.202534e-03
## 992                      No  1.932126e-01  0.122713837  4.622275e-03
## 993                     Yes  3.933523e-01 -1.315529286 -2.226012e-03
## 994                     Yes -2.905113e-01  0.538220722 -1.158433e-02
## 995                      No  3.762799e-01 -1.073321703  4.270644e-03
## 996                      No  7.860414e-01 -3.703521371  7.385838e-03
## 997                      No  5.431838e-02  0.737956127  3.621353e-03
## 998                      No  1.932126e-01  0.122713837  4.622275e-03
## 999                     Yes  5.735638e-01 -2.512010567 -1.050901e-02
## 1000                     No  2.352477e-01 -0.262555089  2.059419e-03
## 1001                     No  1.312788e-01  0.358039873  2.905075e-03
## 1002                     No  8.652364e-02  0.595999976  3.310678e-03
## 1003                    Yes -5.121492e-01  0.700123559 -5.946559e-03
## 1004                    Yes -2.618692e-01  0.689506942 -3.630603e-03
## 1005                     No -8.783825e-01  0.888850355  1.269048e-02
## 1006                     No  6.856960e-02  0.593248583  2.601392e-03
## 1007                     No  4.571108e-02  0.687673444  2.933900e-03
## 1008                     No  3.357329e-01 -0.834718172  3.438646e-03
## 1009                    Yes  2.980365e-01 -0.840502849 -5.607165e-03
## 1010                     No  4.562291e-02  0.736623726  3.422248e-03
## 1011                    Yes -1.090400e+00  0.317699061 -5.765913e-02
## 1012                    Yes  4.466046e-02  0.344763333 -3.012191e-03
## 1013                    Yes  2.651792e-01 -0.502787791  1.681262e-04
## 1014                     No  6.853641e-02  0.789098323  4.231557e-03
## 1015                    Yes  3.886456e-01 -1.316251963 -3.755346e-03
## 1016                    Yes  4.475284e-02  0.393741935 -1.888674e-03
## 1017                    Yes -8.298950e-01  0.700405860 -6.504672e-03
## 1018                    Yes -3.367990e-01  0.873888267  3.940705e-03
## 1019                     No  7.455428e-02  0.594165714  2.837821e-03
## 1020                     No  2.225018e-01 -0.117616353  3.632545e-03
## 1021                    Yes  7.787348e-01 -3.704648451 -6.009082e-06
## 1022                     No  2.191985e-01 -0.118122880  3.199784e-03
## 1023                     No  2.669859e-01 -0.355616522  4.633515e-03
## 1024                    Yes  5.151379e-01 -2.129252577 -7.720482e-03
## 1025                     No  1.494335e-01  0.164966420  1.248588e-03
## 1026                    Yes -1.062219e-01  0.615427252 -2.794408e-03
## 1027                     No  2.998900e-01 -0.546427882  5.292690e-03
## 1028                     No  7.543940e-04  0.631820373  8.339508e-04
## 1029                    Yes  2.286541e-01 -0.361495719 -1.693514e-03
## 1030                    Yes  8.722789e-03  0.584077273  2.371057e-04
## 1031                     No -1.626152e-01  0.851609894  2.968321e-03
## 1032                     No  7.866944e-01 -3.703420653  8.046386e-03
## 1033                     No  1.159171e-01  0.404649300  2.551582e-03
## 1034                     No  1.164470e-01  0.600585631  4.492821e-03
## 1035                    Yes -1.591398e-01  0.215593859 -2.190427e-02
## 1036                     No  3.305289e-01 -0.737586584  5.664226e-03
## 1037                     No  3.408533e-01 -0.833932428  4.675341e-03
## 1038                    Yes -8.541388e-01  0.794628108  3.092906e-03
## 1039                     No  1.733845e-01  0.119674026  2.663482e-03
## 1040                     No  6.856960e-02  0.593248583  2.601392e-03
## 1041                    Yes  3.933523e-01 -1.315529286 -2.226012e-03
## 1042                     No  3.801886e-01 -1.121687220  3.251454e-03
## 1043                    Yes -1.802710e-01 -0.571119412 -8.297049e-02
## 1044                     No  9.375638e-02  0.499180720  2.555656e-03
## 1045                     No  2.163357e-01 -0.118561869  2.824724e-03
## 1046                     No  9.125992e-02  0.351905927  1.721437e-04
## 1047                     No  4.111436e-01 -1.312797568  3.554873e-03
## 1048                     No  1.262095e-01  0.357262872  2.560395e-03
## 1049                     No  2.456299e-01 -0.309927390  2.417705e-03
## 1050                     No  7.498622e-02  0.496304042  1.602544e-03
## 1051                     No  1.847149e-01  0.121411061  3.782793e-03
## 1052                    Yes -5.914153e-01  0.002424176 -7.288996e-02
## 1053                     No  1.855646e-01  0.121541338  3.866741e-03
## 1054                     No -8.887597e-01  0.903799534  1.437666e-02
## 1055                     No  2.842925e-01 -0.499855844  3.730900e-03
## 1056                    Yes -1.552370e-01  0.706984832 -1.148786e-03
## 1057                    Yes -4.805761e-01  0.558060983 -1.549453e-02
## 1058                     No  2.389249e-01 -0.213026666  3.771234e-03
## 1059                    Yes -2.020774e-01 -0.182721875 -5.199167e-02
## 1060                     No  7.131784e-01 -3.225051273  7.649011e-03
## 1061                     No  4.181095e-01 -1.311728007  5.818288e-03
## 1062                    Yes  7.123844e-01 -3.714883298 -6.713027e-02
## 1063                     No -3.257335e-02  0.724641773  1.629430e-03
## 1064                    Yes  3.231675e-01 -0.836646398  4.233760e-04
## 1065                     No  1.770669e-01  0.120238562  3.027258e-03
## 1066                     No  7.866633e-01 -3.703425450  8.014932e-03
## 1067                     No  9.516422e-02  0.352504362  4.372156e-04
## 1068                     No  7.874095e-01 -3.703310344  8.769844e-03
## 1069                    Yes  4.273983e-02  0.344468945 -3.145161e-03
## 1070                     No  6.358521e-01 -2.747268320  4.689712e-03
## 1071                     No  2.372563e-01 -0.115353869  5.565544e-03
## 1072                     No  7.832742e-01 -3.703948223  4.586373e-03
## 1073                     No  4.187684e-01 -1.311626832  6.032395e-03
## 1074                     No  9.863616e-02  0.695783415  4.437004e-03
## 1075                     No  1.492486e-01  0.262866330  2.863056e-03
## 1076                     No  5.123873e-02  0.786447908  3.927710e-03
## 1077                    Yes  7.431338e-01 -3.465284593  1.644515e-03
## 1078                     No  5.490283e-02  0.835972906  4.268747e-03
## 1079                     No  1.238403e-01  0.552755026  4.477784e-03
## 1080                    Yes -8.104742e-02  0.570320307 -3.309324e-03
## 1081                    Yes -3.050358e+00  0.507131566  1.564508e-02
## 1082                     No  6.410996e-01 -2.746460750  8.188332e-03
## 1083                    Yes  1.833031e-01 -0.123627133 -1.502886e-03
## 1084                     No  7.874406e-01 -3.703305547  8.801299e-03
## 1085                     No  3.135306e-01 -0.740194778  1.849155e-03
## 1086                     No  4.145324e-01 -1.312277241  4.655994e-03
## 1087                     No  7.853574e-01 -3.703626885  6.693836e-03
## 1088                     No  7.543940e-04  0.631820373  8.339508e-04
## 1089                    Yes -3.383407e-01  0.775720885 -5.194395e-04
## 1090                     No  5.786791e-01 -2.364320214  5.707441e-03
## 1091                     No  1.115187e-01  0.501902945  3.458878e-03
## 1092                    Yes -8.788980e-01  0.643928971 -1.237484e-02
## 1093                     No  4.121290e-01 -1.263680534  6.228349e-03
## 1094                     No  1.417637e-01  0.359646956  3.621551e-03
## 1095                    Yes  1.167327e-01  0.110988852 -2.933069e-03
## 1096                     No  9.375638e-02  0.499180720  2.555656e-03
## 1097                     No  7.087835e-02  0.838420644  4.463267e-03
## 1098                    Yes -2.410126e-01  0.692702773 -3.152576e-03
## 1099                     No  1.832650e-01  0.023260383  1.872005e-03
## 1100                     No  5.722388e-02  0.493581817  6.993223e-04
## 1101                    Yes -1.663882e-01  0.606207328 -4.835468e-03
## 1102                     No  7.113397e-01 -3.225334568  6.112072e-03
## 1103                     No  7.878758e-01 -3.703238402  9.241664e-03
## 1104                    Yes -5.146365e-01  0.650775594 -9.428308e-03
## 1105                     No  2.295487e-01 -0.116535764  4.555768e-03
## 1106                    Yes  2.803917e-01 -1.332873524 -3.893004e-02
## 1107                    Yes -3.506295e-01  0.773838010 -6.690704e-04
## 1108                     No -3.766042e-01  0.965721016  8.332470e-03
## 1109                     No  2.286678e-01 -0.116670837  4.440365e-03
## 1110                    Yes  1.888085e-01 -0.122782922 -7.816178e-04
## 1111                     No  4.006880e-01 -1.216471430  4.928158e-03
## 1112                     No  2.524186e-01 -0.210957331  5.721593e-03
## 1113                     No  7.897827e-02  0.692771140  3.878709e-03
## 1114                     No  1.501767e-01  0.409900275  4.694272e-03
## 1115                     No  3.420157e-01 -0.833754059  4.946281e-03
## 1116                     No  1.413914e-01  0.408553747  4.145693e-03
## 1117                     No  2.302890e-02  0.684197743  2.289713e-03
## 1118                     No  1.983399e-01  0.074535825  4.383376e-03
## 1119                     No  1.485393e-01  0.409649312  4.589285e-03
## 1120                     No -5.502437e-02  0.966022079  5.011866e-03
## 1121                     No  1.596478e-01  0.362388170  4.841923e-03
## 1122                     No  1.680481e-01  0.314711953  4.940553e-03
## 1123                    Yes -2.585577e-01  0.151387557 -3.313803e-02
## 1124                    Yes -8.104742e-02  0.570320307 -3.309324e-03
## 1125                     No  2.102644e-01  0.027399968  4.879840e-03
## 1126                     No  1.410080e-01  0.359531132  3.568189e-03
## 1127                     No  4.925676e-01 -1.789952787  6.457753e-03
## 1128                    Yes  1.011154e-01  0.206523667 -2.062605e-03
## 1129                    Yes  2.359809e-01 -0.360371965 -4.871986e-04
## 1130                     No  8.653900e-02  0.693929707  4.093438e-03
## 1131                     No  2.339531e-01 -0.115860395  5.132783e-03
## 1132                     No  6.906544e-02  0.495396633  1.301470e-03
## 1133                     No  6.688111e-02  0.690917432  3.535142e-03
## 1134                    Yes  7.839244e-02 -0.041783832 -1.151845e-02
## 1135                     No  7.838028e-01 -3.703866689  5.121102e-03
## 1136                    Yes -1.109708e-01  0.565734652 -4.491467e-03
## 1137                     No  3.012795e-01 -0.595179501  4.116887e-03
## 1138                     No  3.164038e-01 -0.641824002  5.717076e-03
## 1139                    Yes  1.042139e-01 -0.625412187 -3.557392e-02
## 1140                    Yes  9.154588e-02  0.205056714 -2.887333e-03
## 1141                    Yes  7.811911e-01 -3.704269561  2.478910e-03
## 1142                     No  9.139725e-03  0.731033435  2.585484e-03
## 1143                     No  2.161155e-01 -0.118595638  2.795873e-03
## 1144                     No  5.936769e-02  0.787693458  4.070850e-03
## 1145                    Yes -9.684557e-03  0.336433527 -6.727538e-03
## 1146                     No  2.704800e-01 -0.404045171  3.970742e-03
## 1147                    Yes -1.208561e+00  0.250618104 -7.182311e-02
## 1148                    Yes -3.024406e-01  0.340527523 -2.357110e-02
## 1149                     No  1.733845e-01  0.119674026  2.663482e-03
## 1150                    Yes -8.514866e-02  0.422797032 -8.221361e-03
## 1151                    Yes  3.745255e-01 -1.318419992 -8.343350e-03
## 1152                     No  1.188409e-01  0.600952483  4.587393e-03
## 1153                     No  3.467244e-04  0.680722041  1.645525e-03
## 1154                     No  8.652364e-02  0.595999976  3.310678e-03
## 1155                     No  1.514929e-01  0.361138216  4.284665e-03
## 1156                    Yes  7.672618e-01 -3.706418207 -1.161278e-02
## 1157                     No  3.418585e-01 -0.833778170  4.916563e-03
## 1158                     No  1.790875e-01  0.218476418  4.675125e-03
## 1159                     No  4.147206e-01 -1.312248334  4.717167e-03
## 1160                     No  1.748975e-01  0.168870083  3.608026e-03
## 1161                     No  1.675075e-01  0.265665227  4.333330e-03
## 1162                     No  4.402053e-02  0.932232552  4.563893e-03
## 1163                     No -4.705598e-02  0.918278978  4.415021e-03
## 1164                     No  2.321913e-01 -0.116130543  4.901977e-03
## 1165                     No  6.001749e-03  1.024334895  5.009484e-03
## 1166                    Yes  7.725164e-01 -3.705607668 -6.296943e-03
## 1167                    Yes  2.215475e-01 -0.362585705 -2.870979e-03
## 1168                     No  4.157561e-01 -1.312089345  5.053621e-03
## 1169                     No  1.134713e-01  0.502202196  3.559525e-03
## 1170                     No  2.169021e-01 -0.020546461  4.811441e-03
## 1171                    Yes -1.390183e+00  0.173808969 -9.148989e-02
## 1172                     No  7.595398e-02  0.692307713  3.792817e-03
## 1173                     No  9.849300e-02  0.597834238  3.783535e-03
## 1174                    Yes -1.800556e-01 -0.179345033 -4.910660e-02
## 1175                    Yes  1.146338e-01 -0.378983781 -2.052861e-02
## 1176                     No  4.762322e-02  0.590038624  1.773892e-03
## 1177                     No  1.495092e-01  0.360834169  4.152563e-03
## 1178                     No  1.134547e-01  0.600127065  4.374607e-03
## 1179                    Yes -1.172563e-01  0.270979782 -1.625490e-02
## 1180                    Yes  1.904596e-01 -0.416319030 -9.816760e-03
## 1181                    Yes  8.840674e-02  0.106646265 -5.731345e-03
## 1182                     No  1.921401e-01  0.073585317  3.735433e-03
## 1183                     No  1.410080e-01  0.359531132  3.568189e-03
## 1184                     No  2.643130e-01 -0.356026474  4.192074e-03
## 1185                     No  1.054093e-01  0.696821296  4.630695e-03
## 1186                     No  5.660024e-02  0.591414321  2.128535e-03
## 1187                     No  3.344764e-01 -0.834910995  3.137119e-03
## 1188                     No  2.739750e-01 -0.452473755  3.244191e-03
## 1189                     No  6.377262e-01 -2.746979902  5.939219e-03
## 1190                     No  1.943457e-01  0.122887540  4.734206e-03
## 1191                    Yes -1.530325e-01  0.216530044 -2.141446e-02
## 1192                     No -7.214001e-03  0.679563474  1.430796e-03
## 1193                     No  1.141899e-01  0.453348488  3.062497e-03
## 1194                     No  1.140532e-01  0.600218779  4.398250e-03
## 1195                    Yes  4.016176e-02 -0.145576609 -2.025586e-02
## 1196                    Yes  2.252572e-02  0.341370601 -4.524751e-03
## 1197                     No  1.616170e-01  0.215798272  3.162113e-03
## 1198                     No  1.514929e-01  0.361138216  4.284665e-03
## 1199                     No  2.324115e-01 -0.116096774  4.930828e-03
## 1200                     No  4.197097e-01 -1.311482297  6.338262e-03
## 1201                    Yes -2.718530e-02  0.578574487 -1.181466e-03
## 1202                     No  1.960452e-01  0.123148096  4.902103e-03
## 1203                     No  1.932126e-01  0.122713837  4.622275e-03
## 1204                     No  3.108413e-01 -0.642677414  4.550234e-03
## 1205                     No  2.149512e-01 -0.020845581  4.583239e-03
## 1206                     No  2.716398e-01 -0.354902720  5.398390e-03
## 1207                     No  2.117749e-01  0.027631551  5.050340e-03
## 1208                     No  2.350541e-01 -0.115691553  5.277037e-03
## 1209                     No  2.954208e-01 -0.498148760  5.809474e-03
## 1210                     No  2.074033e-01  0.075925387  5.342601e-03
## 1211                     No  7.879380e-01 -3.703228810  9.304573e-03
## 1212                     No  9.375638e-02  0.499180720  2.555656e-03
## 1213                     No  1.312788e-01  0.358039873  2.905075e-03
## 1214                     No  6.759884e-02  0.642063660  3.101892e-03
## 1215                     No  5.747392e-03  0.828441403  3.670223e-03
## 1216                    Yes  3.274586e-01 -1.325646758 -2.363670e-02
## 1217                     No  3.035111e-01 -0.594837151  4.564404e-03
## 1218                     No  1.535775e-01  0.410421516  4.902510e-03
## 1219                    Yes -3.973390e-01  0.559011615 -1.341600e-02
## 1220                    Yes  1.930582e-01 -0.366955306 -7.579970e-03
## 1221                     No  3.565385e-02  0.588204362  1.301035e-03
## 1222                     No  1.881434e-01  0.072972559  3.312219e-03
## 1223                     No  1.322657e-01  0.456118870  4.088934e-03
## 1224                     No  9.569746e-02  0.646369510  4.054097e-03
## 1225                     No  1.368004e-01  0.456813880  4.345326e-03
## 1226                     No  1.224317e-01  0.601502762  4.729250e-03
## 1227                    Yes  4.856476e-02  0.345361769 -2.747119e-03
## 1228                     No  1.196643e-01  0.405223625  2.786935e-03
## 1229                     No  2.185378e-01 -0.118224185  3.113231e-03
## 1230                     No  2.589673e-01 -0.356846378  3.309192e-03
## 1231                     No  2.310902e-01 -0.116299385  4.757723e-03
## 1232                     No  1.056832e-01  0.647899726  4.394852e-03
## 1233                     No  5.643719e-02  0.934134873  4.584234e-03
## 1234                     No  2.909077e-01 -0.596770695  2.027897e-03
## 1235                     No  2.371347e-01 -0.262265692  2.352266e-03
## 1236                     No  4.722322e-02  0.687905158  2.976846e-03
## 1237                     No  1.002884e-01  0.598109377  3.854464e-03
## 1238                     No  3.769843e-02  0.833336880  4.059264e-03
## 1239                     No  1.074700e-01  0.599209934  4.138178e-03
## 1240                     No  1.774821e-01  0.218230316  4.537815e-03
## 1241                     No  3.245191e-01 -0.689543776  5.915277e-03
## 1242                     No  9.151629e-02  0.449873440  1.780537e-03
## 1243                     No  1.663703e-01  0.216526919  3.574910e-03
## 1244                     No  1.847149e-01  0.121411061  3.782793e-03
## 1245                    Yes  2.227676e-01 -0.607224353 -1.170000e-02
## 1246                    Yes  1.450586e-01  0.115331439 -1.347934e-04
## 1247                    Yes  3.231675e-01 -0.836646398  4.233760e-04
## 1248                    Yes  5.337327e-01 -2.126394106  1.588326e-03
## 1249                     No  1.141167e-01  0.306445213  9.325661e-04
## 1250                     No  2.295487e-01 -0.116535764  4.555768e-03
## 1251                     No  1.974615e-01  0.123365225  5.042017e-03
## 1252                    Yes -1.222359e-02  0.580867314 -5.903946e-04
## 1253                     No  1.919502e-01 -0.024372277  1.871062e-03
## 1254                     No  2.646904e-01 -0.355968595  4.250643e-03
## 1255                     No  3.049568e-01 -0.594615356  4.863327e-03
## 1256                    Yes  6.587741e-02 -1.071999436 -7.832725e-02
## 1257                     No  6.856960e-02  0.593248583  2.601392e-03
## 1258                     No  8.652364e-02  0.595999976  3.310678e-03
## 1259                     No  2.273465e-01 -0.116873448  4.267261e-03
## 1260                     No  1.008729e-01  0.696126156  4.501857e-03
## 1261                     No  1.597049e-01  0.313433092  4.322121e-03
## 1262                     No  2.639641e-01 -0.307115475  5.321667e-03
## 1263                     No  2.498079e-01 -0.211357690  5.343062e-03
## 1264                     No  7.878758e-01 -3.703238402  9.241664e-03
## 1265                    Yes -1.591398e-01  0.215593859 -2.190427e-02
## 1266                     No  3.864619e-02  0.588662928  1.419249e-03
## 1267                     No  2.590036e-01 -0.405805469  1.992607e-03
## 1268                     No  7.455428e-02  0.594165714  2.837821e-03
## 1269                     No  2.904914e-01 -0.547869679  3.477245e-03
## 1270                     No  2.830610e-01 -0.451080049  4.872644e-03
## 1271                     No  1.510836e-01  0.361075475  4.258418e-03
## 1272                     No  6.104726e-02  0.836914344  4.343562e-03
## 1273                     No  7.208725e-02  0.887569263  4.583046e-03
## 1274                    Yes  3.308809e-01 -1.080290329 -8.495044e-03
## 1275                    Yes  2.217237e-01 -0.264629155  1.382823e-05
## 1276                     No  2.823433e-01 -0.500154833  3.375143e-03
## 1277                     No  3.753067e-01 -1.073471100  3.997100e-03
## 1278                     No  3.374921e-01 -0.834448221  3.860784e-03
## 1279                     No  2.997708e-01 -0.595410953  3.818832e-03
## 1280                     No  3.045483e-01 -0.594678031  4.773303e-03
## 1281                     No  3.432722e-01 -0.833561237  5.247808e-03
## 1282                     No  5.490283e-02  0.835972906  4.268747e-03
## 1283                     No  1.158486e-01  0.600493918  4.469179e-03
## 1284                     No  1.658442e-01  0.314374138  4.779600e-03
## 1285                     No  1.218333e-01  0.601411049  4.705607e-03
## 1286                     No  1.411226e-01  0.506439987  4.964247e-03
## 1287                    Yes  2.992184e-01 -1.329982818 -3.281270e-02
## 1288                    Yes  3.330909e-01 -1.030985333 -5.487719e-03
## 1289                    Yes  4.139707e-01 -1.459261428 -3.333639e-03
## 1290                    Yes -9.854551e-02  0.714532907  1.146649e-04
## 1291                     No  1.733845e-01  0.119674026  2.663482e-03
## 1292                     No  1.312788e-01  0.358039873  2.905075e-03
## 1293                     No  9.250832e-02  0.596917107  3.547107e-03
## 1294                     No  7.365424e-02  0.691955314  3.728832e-03
## 1295                     No  6.301386e-02  0.739288528  3.820459e-03
## 1296                     No  2.810859e-01 -0.500347721  3.137394e-03
## 1297                     No  1.733845e-01  0.119674026  2.663482e-03
## 1298                     No  1.798995e-01  0.120672821  3.307086e-03
## 1299                     No  1.128562e-01  0.600035352  4.350964e-03
## 1300                     No  1.477207e-01  0.409523830  4.536791e-03
## 1301                     No  2.858590e-01 -0.450650848  5.376127e-03
## 1302                     No  1.974615e-01  0.123365225  5.042017e-03
## 1303                     No  1.224317e-01  0.601502762  4.729250e-03
## 1304                     No  2.295487e-01 -0.116535764  4.555768e-03
## 1305                     No  1.183843e-01  0.502955150  3.810709e-03
## 1306                    Yes  2.227090e-01 -0.509302682 -7.759826e-03
## 1307                    Yes  3.933523e-01 -1.315529286 -2.226012e-03
## 1308                     No  3.059792e-01 -0.692388349  1.898251e-03
## 1309                     No  4.130669e-02  0.735962354  3.322261e-03
## 1310                     No  1.231963e-01  0.454728850  3.576150e-03
## 1311                     No  3.438690e-01 -0.833469654  5.399006e-03
## 1312                     No  1.349740e-01  0.456533944  4.242943e-03
## 1313                     No  9.561187e-02  0.695319988  4.351113e-03
## 1314                     No  2.343935e-01 -0.115792858  5.190484e-03
## 1315                    Yes  2.079327e-01 -0.609500247 -1.468402e-02
## 1316                    Yes -4.195557e-01  0.861209346  3.804814e-03
## 1317                     No  4.342880e-01 -1.505107365  1.128264e-03
## 1318                     No  1.771602e-01  0.022324394  1.190871e-03
## 1319                     No  2.163357e-01 -0.118561869  2.824724e-03
## 1320                     No  1.762171e-01  0.120108285  2.943310e-03
## 1321                     No  1.559855e-01  0.263899024  3.407956e-03
## 1322                     No  2.634011e-01 -0.356166344  4.045216e-03
## 1323                     No  2.253646e-01 -0.117177364  4.007604e-03
## 1324                     No  1.906633e-01  0.122323004  4.370430e-03
## 1325                     No  1.838996e-01  0.170250119  4.440565e-03
## 1326                     No  1.534135e-01  0.361432605  4.417635e-03
## 1327                     No  8.642230e-02  0.742875388  4.358999e-03
## 1328                     No  1.003477e-01  0.745009162  4.677394e-03
## 1329                     No  9.298633e-02  0.792844628  4.660109e-03
## 1330                     No  1.021120e-01  0.745279505  4.716868e-03
## 1331                     No  1.733845e-01  0.119674026  2.663482e-03
## 1332                     No  1.174395e-01  0.502810354  3.759951e-03
## 1333                     No  2.271263e-01 -0.116907216  4.238410e-03
## 1334                     No  1.875474e-01  0.121845320  4.062620e-03
## 1335                     No  1.295575e-01  0.455703796  3.934925e-03
## 1336                     No  9.100385e-02  0.645650259  3.895541e-03
## 1337                     No  1.050216e-01  0.647798355  4.372077e-03
## 1338                     No  1.960452e-01  0.123148096  4.902103e-03
## 1339                     No  1.968950e-01  0.123278373  4.986051e-03
## 1340                     No  2.350541e-01 -0.115691553  5.277037e-03
## 1341                     No  3.471360e-01 -0.832968316  6.182976e-03
## 1342                    Yes  7.596405e-02  0.202668096 -4.235052e-03
## 1343                    Yes  2.375846e-01 -0.360125993 -2.223341e-04
## 1344                     No  3.320073e-01 -0.884255143  6.434844e-04
## 1345                     No  2.557599e-01 -0.357338320  2.779463e-03
## 1346                     No  3.172916e-01 -0.690652685  4.356885e-03
## 1347                     No  5.819039e-02  0.885440089  4.487437e-03
## 1348                     No  1.556243e-01  0.410735220  5.033744e-03
## 1349                    Yes  2.304780e-01 -0.361215979 -1.399799e-03
## 1350                     No  2.119313e-01 -0.119237238  2.247709e-03
## 1351                     No  1.790497e-01  0.120542543  3.223137e-03
## 1352                     No  2.625522e-01 -0.356296556  3.897491e-03
## 1353                     No  2.659167e-01 -0.355780503  4.456938e-03
## 1354                     No  1.003911e-01  0.647088762  4.212653e-03
## 1355                     No  6.035458e-01 -2.507398588  7.410771e-03
## 1356                     No  4.207452e-01 -1.311323308  6.674715e-03
## 1357                    Yes  2.890680e-01 -0.792913614 -5.634205e-03
## 1358                     No  7.875338e-01 -3.703291159  8.895663e-03
## 1359                    Yes  3.980590e-01 -1.314806609 -6.966772e-04
## 1360                    Yes  6.590556e-01 -2.988540336 -5.430345e-03
## 1361                    Yes  2.026805e-01 -0.365479479 -5.990783e-03
## 1362                    Yes  7.802894e-01 -3.704408647  1.566724e-03
## 1363                    Yes  1.080189e-01  0.272867710 -1.265575e-04
## 1364                     No  2.097291e-01 -0.119574922  1.959202e-03
## 1365                     No  2.523954e-01 -0.357854374  2.220016e-03
## 1366                     No  2.163357e-01 -0.118561869  2.824724e-03
## 1367                     No  1.733845e-01  0.119674026  2.663482e-03
## 1368                     No  2.611056e-01 -0.356518417  3.662345e-03
## 1369                     No  1.002884e-01  0.598109377  3.854464e-03
## 1370                     No  1.932126e-01  0.122713837  4.622275e-03
## 1371                     No  1.932126e-01  0.122713837  4.622275e-03
## 1372                    Yes  3.980590e-01 -1.314806609 -6.966772e-04
## 1373                     No  9.849300e-02  0.597834238  3.783535e-03
## 1374                     No  1.002884e-01  0.598109377  3.854464e-03
## 1375                     No  6.026700e-01 -2.507533270  6.912704e-03
## 1376                     No  1.951954e-01  0.123017818  4.818155e-03
## 1377                     No  7.876582e-01 -3.703271975  9.021481e-03
## 1378                    Yes  1.722922e-01 -0.125315554 -2.945423e-03
## 1379                     No  2.101686e-01 -0.021578894  4.011432e-03
## 1380                     No  2.502812e-01 -0.260249505  4.339288e-03
## 1381                     No  6.022011e-01 -2.507605407  6.632216e-03
## 1382                     No  2.164617e-01 -0.020613998  4.753739e-03
## 1383                     No  7.702278e-02  0.839362082  4.538082e-03
## 1384                    Yes  2.333659e-01 -0.507667931 -5.770409e-03
## 1385                     No  5.407764e-01 -2.125311332  5.094097e-03
## 1386                     No  2.607282e-01 -0.356576296  3.603776e-03
## 1387                    Yes  1.944010e-02  0.340897648 -4.737329e-03
## 1388                     No  1.393303e-01  0.212381820  1.237171e-03
## 1389                     No  4.130262e-01 -1.312508498  4.166607e-03
## 1390                     No  2.066771e-01  0.026849951  4.482873e-03
## 1391                     No  3.457853e-01 -0.833175592  5.850862e-03
## 1392                     No  1.746538e-01  0.266760662  4.904477e-03
## 1393                     No  2.354946e-01 -0.115624016  5.334738e-03
## 1394                    Yes  7.480188e-01 -3.611443620 -1.531540e-02
## 1395                     No  4.187684e-01 -1.311626832  6.032395e-03
## 1396                     No  4.168857e-01 -1.311915903  5.420661e-03
## 1397                     No  2.005774e-01  0.123842910  5.349827e-03
## 1398                     No  1.832650e-01  0.023260383  1.872005e-03
## 1399                     No  7.875649e-01 -3.703286363  8.927117e-03
## 1400                     No  1.236287e-01  0.601686188  4.776536e-03
## 1401                     No  6.045148e-01 -2.507249517  8.003202e-03
## 1402                     No  3.457853e-01 -0.833175592  5.850862e-03
## 1403                     No  1.221119e-01  0.258706582  6.860623e-04
## 1404                     No -6.184133e-02  0.818085587  2.847254e-03
## 1405                     No -3.111919e-02  0.822792776  3.221331e-03
## 1406                     No  1.231963e-01  0.454728850  3.576150e-03
## 1407                    Yes -1.176088e+01 -0.755362341  1.353533e-01
## 1408                     No  1.263959e-01  0.438897964  3.582270e-03
## 1409                    Yes  2.375396e-01 -0.604958117 -8.715106e-03
## 1410                     No  1.434959e-02  0.829759416  3.774965e-03
## 1411                     No  1.062731e-01  0.599026508  4.090893e-03
## 1412                     No  6.899906e-02  0.887096113  4.561799e-03
## 1413                    Yes -1.580339e-01 -0.175968190 -4.622153e-02
## 1414                     No  5.412462e-01 -2.125239129  5.310808e-03
## 1415                     No  1.559855e-01  0.263899024  3.407956e-03
## 1416                     No  8.763326e-02  0.645133749  3.782534e-03
## 1417                     No  1.534135e-01  0.361432605  4.417635e-03
## 1418                    Yes  7.818440e-01 -3.704168843  3.139458e-03
# Means of scores 
tabmeansPC <- aggregate(layofftyp_pca[,2:4],by=list(Laid_Off_Yes_No=layoff$Laid_Off_Yes_No),mean)
tabmeansPC
##   Laid_Off_Yes_No        PC1         PC2          PC3
## 1              No  0.1563839  0.03423861  0.004132902
## 2             Yes -0.4665161 -0.10213879 -0.012329050
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$Laid_Off_Yes_No)),]
tabmeansPC
##   Laid_Off_Yes_No        PC1         PC2          PC3
## 2             Yes -0.4665161 -0.10213879 -0.012329050
## 1              No  0.1563839  0.03423861  0.004132902
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
##               2           1
## PC1 -0.46651607 0.156383916
## PC2 -0.10213879 0.034238614
## PC3 -0.01232905 0.004132902
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$Laid_Off_Yes_No))
tabfmeans
##             Yes          No
## PC1 -0.46651607 0.156383916
## PC2 -0.10213879 0.034238614
## PC3 -0.01232905 0.004132902
# Standard deviations of scores 
tabsdsPC <- aggregate(layofftyp_pca[,2:4],by=list(Laid_Off_Yes_No=layoff$Laid_Off_Yes_No),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$Laid_Off_Yes_No))
tabfsds
##              No       Yes
## PC1 0.673318614 2.5359337
## PC2 0.966367400 1.0443219
## PC3 0.008880437 0.0349253
t.test(PC1~layoff$Laid_Off_Yes_No,data=layofftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC1 by layoff$Laid_Off_Yes_No
## t = 4.5807, df = 371.91, p-value = 6.332e-06
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
##  0.355508 0.890292
## sample estimates:
##  mean in group No mean in group Yes 
##         0.1563839        -0.4665161
t.test(PC2~layoff$Laid_Off_Yes_No,data=layofftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC2 by layoff$Laid_Off_Yes_No
## t = 2.1719, df = 572.27, p-value = 0.03027
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
##  0.01304623 0.25970857
## sample estimates:
##  mean in group No mean in group Yes 
##        0.03423861       -0.10213879
t.test(PC3~layoff$Laid_Off_Yes_No,data=layofftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC3 by layoff$Laid_Off_Yes_No
## t = 8.7985, df = 370.5, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
##  0.01278286 0.02014104
## sample estimates:
##  mean in group No mean in group Yes 
##       0.004132902      -0.012329050
## F ratio tests
var.test(PC1~layoff$Laid_Off_Yes_No,data=layofftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC1 by layoff$Laid_Off_Yes_No
## F = 0.070496, num df = 1061, denom df = 355, p-value < 2.2e-16
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.05924824 0.08326827
## sample estimates:
## ratio of variances 
##         0.07049616
var.test(PC2~layoff$Laid_Off_Yes_No,data=layofftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC2 by layoff$Laid_Off_Yes_No
## F = 0.85628, num df = 1061, denom df = 355, p-value = 0.06789
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.7196574 1.0114161
## sample estimates:
## ratio of variances 
##          0.8562799
var.test(PC3~layoff$Laid_Off_Yes_No,data=layofftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC3 by layoff$Laid_Off_Yes_No
## F = 0.064653, num df = 1061, denom df = 355, p-value < 2.2e-16
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.05433734 0.07636643
## sample estimates:
## ratio of variances 
##         0.06465296
# Levene's tests (one-sided)
library(car)
## Loading required package: carData
## 
## Attaching package: 'car'
## The following object is masked from 'package:purrr':
## 
##     some
## The following object is masked from 'package:dplyr':
## 
##     recode
(LTPC1 <- leveneTest(PC1~layoff$Laid_Off_Yes_No,data=layofftyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value    Pr(>F)    
## group    1   45.43 2.296e-11 ***
##       1416                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC1_1sided <- LTPC1[[3]][1]/2)
## [1] 1.147807e-11
(LTPC2 <- leveneTest(PC2~layoff$Laid_Off_Yes_No,data=layofftyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value Pr(>F)
## group    1  1.2444 0.2648
##       1416
(p_PC2_1sided=LTPC2[[3]][1]/2)
## [1] 0.1324095
(LTPC3 <- leveneTest(PC3~layoff$Laid_Off_Yes_No,data=layofftyp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value    Pr(>F)    
## group    1  124.78 < 2.2e-16 ***
##       1416                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC3_1sided <- LTPC3[[3]][1]/2)
## [1] 3.975424e-28
# Plotting the scores for the first and second components
plot(layofftyp_pca$PC1, layofftyp_pca$PC2,pch=ifelse(layofftyp_pca$Laid_Off_Yes_No == "Yes",1,16),xlab="PC1", ylab="PC2", main="Layoff against values for PC1 & PC2")
abline(h=0)
abline(v=0)
legend("bottomleft", legend=c("Layoff","No Layoff"), pch=c(1,16))

plot(eigen_layoff, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")

plot(log(eigen_layoff), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")

print(summary(layoff_pca))
## Importance of components:
##                           PC1    PC2     PC3
## Standard deviation     1.4225 0.9879 0.02039
## Proportion of Variance 0.6745 0.3253 0.00014
## Cumulative Proportion  0.6745 0.9999 1.00000
diag(cov(layoff_pca$x))
##          PC1          PC2          PC3 
## 2.0236093687 0.9759750016 0.0004156297
xlim <- range(layoff_pca$x[,1])
layoff_pca$x[,1]
##    [1]  8.741866e-02  1.733845e-01 -8.104742e-02  6.856960e-02  2.337609e-02
##    [6]  2.434597e-01  7.378512e-02  1.401405e-02  2.946350e-01  7.619762e-01
##   [11]  7.833986e-01 -8.641905e-02  1.903800e-01 -3.523376e-01  3.132612e-01
##   [16] -2.382298e-02 -3.247451e-01  1.592215e-01  2.101696e-01 -6.902156e-01
##   [21] -1.085719e-01 -3.503581e-01  6.458137e-02 -3.279044e-01  1.308956e-01
##   [26]  4.147206e-01  1.677193e-01  1.648867e-01  1.393950e-01  7.725164e-01
##   [31]  2.746696e-02  2.562884e-01  1.877074e-01  1.074700e-01 -1.288722e+00
##   [36] -8.846585e-02  8.575101e-02  2.441169e-01  1.960452e-01 -4.832359e-02
##   [41] -6.541468e-03  1.456109e-01  1.943139e-01 -1.685510e-01  2.304780e-01
##   [46]  1.068141e-01  3.374921e-01  3.227280e-01  1.292811e-01 -1.426321e-01
##   [51]  1.104624e-01  2.482760e-01  2.761504e-01  4.130669e-02  8.034177e-02
##   [56]  2.052376e-01  1.044777e-01  1.521401e-01 -1.029309e-01  1.903800e-01
##   [61]  1.030371e-01  6.856960e-02  3.440261e-01  2.163357e-01 -8.703211e-02
##   [66]  1.534135e-01  1.949122e-01  1.506491e-01  3.027882e-01  1.875474e-01
##   [71]  1.014853e-01  3.061511e-01  1.875474e-01 -5.016248e-01  6.053405e-02
##   [76]  2.482760e-01  1.819436e-01 -2.497476e-02 -1.217130e+00  2.519445e-01
##   [81]  2.145033e-02  3.027882e-01  4.856476e-02  1.494335e-01  7.858860e-01
##   [86] -6.197556e-01  3.746589e-02  6.856960e-02  9.735229e-02  6.994503e-02
##   [91]  2.730850e-02 -2.768964e-01 -5.112402e-02  1.361867e-01  1.647648e-01
##   [96]  6.990540e-02  5.970115e-01  5.839564e-02 -7.923405e-02  2.678978e-01
##  [101]  1.124243e-01  2.393455e-01  2.480618e-01  5.213362e-01  2.651879e-01
##  [106]  2.485514e-01  3.797401e-02  1.612813e-01  1.762171e-01  9.250832e-02
##  [111]  1.471793e-01  2.155800e-01  4.818249e-02  2.850101e-01  2.218411e-01
##  [116]  2.609925e-02  1.762009e-02  8.034177e-02  7.865078e-01  1.277310e-01
##  [121] -4.944328e-03  2.446912e-01  1.262095e-01  7.879380e-01 -2.232864e-01
##  [126]  1.130484e-01  1.164470e-01  1.140532e-01  1.167327e-01  9.475488e-02
##  [131]  1.514929e-01  2.700361e-01  7.455428e-02  1.912298e-01 -2.419296e-02
##  [136] -2.387787e-02  5.490283e-02 -1.196876e+00  3.435235e-01 -4.054173e-01
##  [141]  1.881140e-01  6.334780e-01  1.300299e-01  2.810859e-01  7.133036e-01
##  [146]  7.600796e-01 -6.486919e-03  2.074941e-01  9.193498e-02  9.710870e-03
##  [151]  1.289118e-01  9.375638e-02 -3.908758e-02  3.382460e-01  2.926677e-01
##  [156]  7.096943e-02  9.250832e-02  6.657743e-02  1.107184e-01  7.693880e-02
##  [161] -1.883033e-02  2.409379e-01  8.763326e-02 -5.164216e-01 -1.712226e-01
##  [166]  7.455428e-02 -1.281856e-01  1.252304e-01  2.163357e-01  2.678978e-01
##  [171]  9.712401e-02  1.677193e-01  8.915184e-02  5.061556e-02  2.616402e-01
##  [176]  5.823169e-02  1.361867e-01  5.431838e-02  1.313780e-01  1.044777e-01
##  [181]  1.572932e-01 -1.601433e-02  2.144410e-01  2.879533e-01  4.392696e-04
##  [186]  2.067704e-01  3.797401e-02  9.370526e-02 -5.230489e-01  1.159171e-01
##  [191]  1.762009e-02 -1.021132e+00  1.788987e-01  6.761389e-02 -4.497857e-01
##  [196] -2.620773e-01  2.922143e-01  1.104624e-01  2.565086e-01 -3.398859e-01
##  [201]  1.118834e-01  8.652364e-02  2.858642e-01  1.404534e-01  1.277310e-01
##  [206]  9.331213e-02  2.168936e-01 -2.519073e-02 -8.637892e-03 -3.741882e-02
##  [211]  7.080119e-02  9.375638e-02  1.542582e-01  1.889637e-01  1.397540e-01
##  [216]  2.622974e-01  2.922143e-01  4.107670e-01  2.625522e-01 -6.569392e-01
##  [221]  1.322657e-01  2.001567e-02  7.163094e-02  9.516422e-02  2.611056e-01
##  [226]  1.257852e-01  6.138798e-02  7.381973e-02  6.092070e-02  1.103768e-01
##  [231]  1.336088e-01 -9.051428e-02  2.346137e-01  1.804660e-01  1.739612e-01
##  [236]  3.357329e-01 -3.787885e-01  7.756256e-01 -2.259231e-01  3.382460e-01
##  [241]  2.284476e-01  7.970282e-02  3.249276e-01  2.053248e-01  7.231959e-01
##  [246]  1.733845e-01  2.215475e-01  1.055298e-01  1.596653e-01  1.974615e-01
##  [251]  1.825422e-01  1.097932e-01  1.356742e-01  3.753067e-01 -1.046295e-01
##  [256]  5.996378e-01  2.341733e-01  1.584828e-01 -6.955236e-01  2.559110e-01
##  [261] -2.267015e-01  2.896995e-01  2.361552e-01 -6.892810e-01  1.107184e-01
##  [266]  1.579104e-01  5.061556e-02  8.053896e-02  6.127858e-02 -2.435288e+01
##  [271] -2.422327e-01  2.273465e-01 -2.859147e-01  1.487536e-01  1.983399e-01
##  [276]  2.650048e-01  2.313105e-01  2.705707e-01 -4.166638e+00  6.856960e-02
##  [281]  1.804660e-01  1.368256e-01  2.723316e-01 -1.455786e-01 -2.422327e-01
##  [286]  1.487536e-01  4.856476e-02  1.340181e-01 -5.226736e-01 -2.454084e-01
##  [291]  3.301060e-02  5.547881e-01 -2.891808e-01  1.194939e-01  1.212348e-01
##  [296] -6.876074e-01 -2.625773e-01 -4.429308e-02  1.450586e-01  1.159171e-01
##  [301]  5.327180e-02  5.438970e-02  2.097291e-01 -1.642293e-01  4.562291e-02
##  [306]  2.341733e-01  8.722789e-03 -6.312859e+00  2.648891e-01  5.478419e-01
##  [311]  1.733845e-01  2.267621e-02  2.393455e-01  5.490283e-02  2.587730e-01
##  [316] -2.857557e+00  2.810859e-01 -2.785419e-01  8.840674e-02 -9.337865e-02
##  [321] -9.877104e-02 -2.778585e-01 -5.336595e-02 -1.928003e-02  2.752579e-02
##  [326] -6.996948e-02  7.861969e-01 -3.286339e-01  2.073068e-01  3.261121e-02
##  [331] -5.908804e-02  1.733845e-01  5.801490e-01 -2.515043e-01  1.937248e-01
##  [336] -1.129001e-01  2.798129e-01  3.565385e-02 -6.486919e-03  1.105109e-01
##  [341]  1.189585e-01 -2.869608e-01  4.442991e-02 -6.307022e-02  3.692743e-02
##  [346]  9.028784e-02  2.330722e-01 -3.397851e-01 -6.876074e-01 -2.066609e-02
##  [351]  6.856960e-02  7.854818e-01  1.030371e-01 -1.541840e-01  2.273465e-01
##  [356]  2.339531e-01  1.301138e-01  1.765003e-01 -2.768964e-01  3.059194e-03
##  [361]  6.856960e-02 -4.173908e-01 -1.317333e-01  7.455428e-02  2.495264e-01
##  [366]  3.769843e-02  2.744397e-02  1.182424e-01 -1.630839e+00 -1.009347e+00
##  [371] -3.279044e-01  9.832081e-02 -2.243790e-01  1.289118e-01  1.326061e-01
##  [376]  1.083922e-01  3.462854e-01 -1.556089e-01 -1.564388e-01  1.620541e-01
##  [381]  1.209604e-01 -2.796872e-03  1.110608e-01  2.337328e-01  1.732686e-01
##  [386] -6.131219e+00 -5.336595e-02  7.872851e-01  2.627464e-01 -6.486919e-03
##  [391]  1.145596e-01  3.692743e-02 -2.608236e-01  6.994386e-02  9.849300e-02
##  [396]  1.903800e-01  2.562884e-01 -5.121492e-01 -2.333059e-01  1.044777e-01
##  [401]  1.695853e-01  1.573178e-01 -1.212586e+01 -9.189028e-01 -2.880039e-01
##  [406] -3.745690e-02 -6.486919e-03  1.098639e-01  2.486127e-01  2.945849e-01
##  [411] -3.111919e-02  7.963210e-02 -1.219709e+01 -1.408942e-01 -2.065252e-01
##  [416]  1.238141e-01 -2.819409e-02  1.620541e-01  1.003932e-01  8.931579e-02
##  [421]  9.375638e-02  1.953647e-02  2.079346e-01  4.562291e-02  2.770201e-01
##  [426]  3.570073e-02 -5.112402e-02 -5.106322e-01  7.816574e-01  1.098997e-01
##  [431]  6.258492e-02  5.282767e-01  6.008082e-02  2.660739e-01  2.572065e-01
##  [436]  3.657017e-01  6.361455e-02  3.332198e-01  3.265485e-01  2.390847e-01
##  [441]  1.242889e-01  1.811569e-01  2.668287e-01  2.042454e-02 -2.400298e-01
##  [446]  6.919491e-02 -2.796872e-03 -6.738580e-02  1.946758e-01  8.163580e-02
##  [451]  6.856960e-02  1.715925e-01  6.017010e-01  2.418068e-02  1.903800e-01
##  [456]  4.583764e-02  4.481003e-01  9.849300e-02 -1.185443e-02  1.238141e-01
##  [461]  4.261397e-02  4.027656e-01  1.632199e-01 -5.502437e-02  1.695853e-01
##  [466]  2.317509e-01  9.107543e-02  2.922143e-01  1.553342e-01 -2.489133e+01
##  [471] -4.659328e+00  1.801827e-01  9.514754e-02  6.719169e-02  8.293283e-02
##  [476] -2.744230e+00  1.083011e-01  1.612813e-01  2.160204e-01  3.450314e-01
##  [481]  1.422799e-01  2.317509e-01  2.707279e-01  6.884269e-02 -2.110313e-01
##  [486]  2.686250e-01  1.847149e-01  2.393455e-01  7.235264e-03  1.044777e-01
##  [491]  9.078921e-02  7.156194e-02  6.892186e-02  8.840674e-02  2.288881e-01
##  [496]  1.164470e-01  1.314956e-01  2.834436e-01  1.124635e-01  7.378418e-03
##  [501]  1.297626e-01 -4.402291e-01  1.240317e-01  2.465151e-01 -2.497476e-02
##  [506]  4.140617e-01  1.803625e-02  1.534135e-01  4.583764e-02 -1.086511e-02
##  [511]  1.280630e-01 -1.423442e-01  3.864619e-02  9.151629e-02  9.605101e-02
##  [516]  4.189919e-02  1.044777e-01  2.696587e-01  1.784580e-01  2.835547e-01
##  [521]  5.426349e-02  1.277310e-01  8.956329e-02  9.863616e-02  1.445158e-01
##  [526]  8.951598e-02  1.774821e-01  1.468330e-01  6.258492e-02  3.124839e-01
##  [531]  1.550139e-01  2.147310e-01 -1.174313e+00  7.897491e-02  2.800556e-01
##  [536]  1.912265e-01 -6.486919e-03  1.231963e-01 -3.259089e-02  3.646954e-02
##  [541]  4.187684e-01  2.273465e-01  1.988778e-01  3.745255e-01  1.167327e-01
##  [546]  7.411608e-03  6.306923e-02  2.917428e-01  1.134547e-01 -9.256348e-02
##  [551]  1.818823e-01  1.030371e-01  3.202546e-01  1.960452e-01 -7.214001e-03
##  [556]  5.327180e-02 -5.322284e-02  7.275887e-02 -6.996948e-02 -1.020351e+00
##  [561]  1.167327e-01  1.719682e-01 -6.729222e-02  2.855499e-01  2.302094e-01
##  [566]  1.841828e-01  6.127858e-02  1.150704e-01 -2.061730e+01 -4.946663e+00
##  [571]  1.524242e-01  3.231675e-01  5.660024e-02  8.705311e-02  2.053230e-01
##  [576]  7.427698e-02  2.013590e-01 -1.464402e-01  7.543940e-04  1.221119e-01
##  [581]  7.843314e-01  1.542582e-01  1.098639e-01 -5.226736e-01  1.167327e-01
##  [586]  6.709445e-01  1.095534e-01  9.422451e-02  2.013590e-01  8.351471e-02
##  [591]  2.572065e-01  6.839325e-02 -4.983218e-01  2.037496e-01 -2.796872e-03
##  [596]  2.398999e-01  1.014853e-01  4.049248e-01 -4.832429e+00 -2.400848e-01
##  [601]  3.106020e-01  1.796776e-01  1.629039e-01  1.145596e-01  1.068716e-01
##  [606]  7.602556e-02  1.553342e-01  4.154737e-01 -6.209777e+00 -8.104742e-02
##  [611] -3.383407e-01  4.935052e-02 -4.340805e-02  7.329730e-02  7.818440e-01
##  [616]  6.083253e-02  2.013590e-01 -2.606237e-01 -1.667106e-01  1.068141e-01
##  [621] -1.755263e-01  1.847149e-01  1.196828e-02  6.610505e-02  4.343394e-02
##  [626]  1.822580e-01  6.856960e-02  1.262095e-01  4.168857e-01 -1.518240e-02
##  [631]  2.810859e-01  1.647648e-01  1.647648e-01  2.776553e-02  3.032511e-02
##  [636] -5.112402e-02  2.469771e-01  1.946289e-01 -2.096312e+01  7.849532e-01
##  [641]  3.462317e-01  1.512633e-01  9.710870e-03 -2.768964e-01  1.119750e-01
##  [646] -7.452863e-02  3.452438e-01  1.282733e-01  4.199921e-01  8.840674e-02
##  [651]  7.491898e-02  7.235264e-03  1.499135e-01  3.305289e-01  5.660024e-02
##  [656]  2.901710e-01  2.696587e-01  3.105275e-02  3.855568e-01  1.233049e-01
##  [661] -7.743813e-01  2.692813e-01  1.331862e-01  3.346185e-02  1.939968e-01
##  [666]  2.026198e-01  1.343880e-01  1.343880e-01  7.860414e-01 -2.980445e+00
##  [671]  3.864619e-02  5.980746e-01 -1.708176e-01  6.217133e-02  2.572065e-01
##  [676]  1.254952e-01  3.064655e-01  3.836040e-02  7.555078e-01  1.827320e-01
##  [681] -1.008514e-01 -8.139566e-02 -1.036450e-01  4.818249e-02  2.273465e-01
##  [686] -1.260189e-02  1.488746e-01  1.322657e-01  8.173590e-02  1.903800e-01
##  [691] -3.275143e-01  1.233603e-01  1.378594e-01  4.429354e-02  6.227615e-02
##  [696]  2.795142e-01  7.849532e-01 -1.424948e-01  1.441205e-01 -1.642293e-01
##  [701]  3.669893e-01  1.478912e-01  1.044777e-01  3.127378e-02  1.378594e-01
##  [706]  1.917963e-01 -2.971973e-01  2.644702e-01  3.032511e-02  5.965115e-01
##  [711] -3.111919e-02 -2.796872e-03  1.525855e-01  2.582384e-01  7.214210e-02
##  [716]  7.833986e-01  3.155400e-02  3.646954e-02  2.123564e-02  2.906425e-01
##  [721]  2.922143e-01  6.350503e-02  1.262095e-01  4.571108e-02  1.436843e-01
##  [726] -1.608613e-01  1.217042e-01  6.856960e-02  8.652364e-02  1.932126e-01
##  [731]  1.110608e-01  1.056746e-01  2.580554e-01  8.903725e-02  7.837095e-01
##  [736]  1.974615e-01  1.072218e-01  1.626206e-01  7.595398e-02  9.028784e-02
##  [741]  4.188625e-01  1.947898e-01  1.159171e-01  9.550066e-02  5.022886e-02
##  [746] -9.773614e-01 -4.340805e-02  1.678538e-01  1.054314e-01  1.242931e-01
##  [751]  1.130858e-01  1.631428e-01  3.716269e-02  3.454856e-02  3.241106e-01
##  [756] -2.047518e-01  2.691717e-01  1.762171e-01  6.839325e-02  8.498722e-02
##  [761]  1.002884e-01  1.282733e-01 -2.489693e-02  2.037496e-01 -3.324656e-01
##  [766]  2.097291e-01 -4.705598e-02  1.627854e-01  2.664513e-01 -2.907998e-02
##  [771] -2.907998e-02  6.719169e-02  4.463087e-02  9.849300e-02  1.692390e-01
##  [776]  3.716269e-02  1.119750e-01  3.815035e-02 -3.908758e-02  2.853927e-01
##  [781]  1.085583e-01  1.883972e-01  2.267621e-02  5.104925e-02  3.103784e-01
##  [786]  2.207400e-01  1.803625e-02  1.864144e-01  1.104624e-01  2.708850e-01
##  [791]  9.936071e-02  4.161326e-01  7.857305e-01  2.870223e-01  2.108302e-01
##  [796]  5.832793e-02  2.874360e-01  1.847149e-01 -7.566484e-01 -5.190423e-02
##  [801]  2.241063e-01  3.811716e-02 -4.700517e-01  6.839325e-02  1.661854e-01
##  [806] -1.549243e-03  2.708850e-01  7.874489e-02  1.043601e-01  7.843314e-01
##  [811]  1.875474e-01  2.092575e-01  7.333612e-02  2.053248e-01  1.281932e-01
##  [816]  9.071292e-02  2.874360e-01  7.825166e-02  1.450586e-01 -1.174272e-01
##  [821]  1.517711e-01  1.932126e-01  1.110383e-01  2.051745e-01  4.738722e-02
##  [826]  1.104624e-01  4.121790e-01  1.434959e-02  1.949122e-01  1.509170e-01
##  [831]  1.440937e-01  2.291083e-01  7.255997e-02  4.856476e-02  2.728039e-01
##  [836]  3.332198e-01  2.572065e-01  1.733845e-01  1.647648e-01  1.592134e-01
##  [841] -7.692857e-01  1.208723e-01  2.228300e-01  1.395087e-01  7.569704e-01
##  [846]  1.950350e-01 -9.256348e-02  1.289118e-01  1.774821e-01  5.424256e-02
##  [851]  2.459390e-01  1.774821e-01  1.974615e-01 -4.638980e-02  2.536217e-01
##  [856] -2.796872e-03  8.053896e-02  1.771989e-01  9.107543e-02  8.295672e-02
##  [861]  2.937861e-01  1.038971e-01  1.035823e-01  1.297534e-01  1.580735e-01
##  [866]  2.053248e-01  7.854196e-01  3.999049e-02  8.381761e-02  5.975266e-02
##  [871]  7.827768e-01  8.351471e-02  1.932126e-01  1.331862e-01  1.200379e-01
##  [876]  7.702278e-02 -2.243790e-01  4.945992e-02  1.703964e-01  1.970480e-01
##  [881]  1.903800e-01  2.717970e-01  2.348339e-01  1.522865e-01  2.215475e-01
##  [886]  2.302890e-02  3.344764e-01  9.849300e-02  9.107543e-02  4.198980e-01
##  [891] -4.944328e-03 -1.662966e-01 -1.934971e-01  2.625522e-01  2.324115e-01
##  [896]  1.986009e-01  2.019247e-01  1.405727e-01  1.233603e-01 -5.437223e-01
##  [901]  7.427698e-02  1.404534e-01  9.341651e-02  1.467516e-01  1.677193e-01
##  [906]  2.983251e-01  1.610539e-01  7.602556e-02  1.074700e-01  1.640496e-01
##  [911]  1.054023e-01  2.678978e-01  9.561187e-02  7.849221e-01  9.375638e-02
##  [916]  2.607282e-01  4.557306e-01  1.534135e-01  2.409492e-01  8.070943e-02
##  [921] -2.333059e-01  1.191340e-01  1.971783e-01  3.032511e-02  1.475886e-01
##  [926]  9.497518e-02  7.838452e-02  3.864619e-02  2.141335e-01  2.181293e-01
##  [931]  7.456500e-02  2.732435e-01 -1.630520e-01 -2.415965e-01 -1.408942e-01
##  [936]  1.359387e-01  2.890077e-01  1.140532e-01  1.308956e-01  2.880647e-01
##  [941]  3.441203e-01 -2.277409e-01  2.304780e-01  6.856960e-02  1.847149e-01
##  [946]  1.475886e-01  9.863616e-02  2.915089e-02  3.691490e-02  2.823195e-02
##  [951]  3.382460e-01  5.747392e-03  7.868187e-01  1.447922e-01  5.981837e-02
##  [956]  1.420075e-01  1.068141e-01  1.875474e-01 -1.261832e-01 -1.261832e-01
##  [961]  9.516422e-02  1.902826e-01  6.301386e-02  2.104847e-01  1.569085e-01
##  [966] -7.526053e-02  2.009205e-01  4.084137e-01  6.856960e-02  6.911781e-02
##  [971]  2.922143e-01  2.328520e-01 -2.796872e-03  7.849532e-01  9.866935e-02
##  [976]  8.951598e-02  1.435011e-01  3.071883e-01  2.900138e-01  2.357148e-01
##  [981]  2.236409e-01  6.856960e-02 -1.298127e-01  2.491879e-01  2.395527e-01
##  [986]  5.983629e-02  9.247041e-02  1.167327e-01  2.046400e-01  2.273465e-01
##  [991]  1.889637e-01  1.932126e-01  3.933523e-01 -2.905113e-01  3.762799e-01
##  [996]  7.860414e-01  5.431838e-02  1.932126e-01  5.735638e-01  2.352477e-01
## [1001]  1.312788e-01  8.652364e-02 -5.121492e-01 -2.618692e-01 -8.783825e-01
## [1006]  6.856960e-02  4.571108e-02  3.357329e-01  2.980365e-01  4.562291e-02
## [1011] -1.090400e+00  4.466046e-02  2.651792e-01  6.853641e-02  3.886456e-01
## [1016]  4.475284e-02 -8.298950e-01 -3.367990e-01  7.455428e-02  2.225018e-01
## [1021]  7.787348e-01  2.191985e-01  2.669859e-01  5.151379e-01  1.494335e-01
## [1026] -1.062219e-01  2.998900e-01  7.543940e-04  2.286541e-01  8.722789e-03
## [1031] -1.626152e-01  7.866944e-01  1.159171e-01  1.164470e-01 -1.591398e-01
## [1036]  3.305289e-01  3.408533e-01 -8.541388e-01  1.733845e-01  6.856960e-02
## [1041]  3.933523e-01  3.801886e-01 -1.802710e-01  9.375638e-02  2.163357e-01
## [1046]  9.125992e-02  4.111436e-01  1.262095e-01  2.456299e-01  7.498622e-02
## [1051]  1.847149e-01 -5.914153e-01  1.855646e-01 -8.887597e-01  2.842925e-01
## [1056] -1.552370e-01 -4.805761e-01  2.389249e-01 -2.020774e-01  7.131784e-01
## [1061]  4.181095e-01  7.123844e-01 -3.257335e-02  3.231675e-01  1.770669e-01
## [1066]  7.866633e-01  9.516422e-02  7.874095e-01  4.273983e-02  6.358521e-01
## [1071]  2.372563e-01  7.832742e-01  4.187684e-01  9.863616e-02  1.492486e-01
## [1076]  5.123873e-02  7.431338e-01  5.490283e-02  1.238403e-01 -8.104742e-02
## [1081] -3.050358e+00  6.410996e-01  1.833031e-01  7.874406e-01  3.135306e-01
## [1086]  4.145324e-01  7.853574e-01  7.543940e-04 -3.383407e-01  5.786791e-01
## [1091]  1.115187e-01 -8.788980e-01  4.121290e-01  1.417637e-01  1.167327e-01
## [1096]  9.375638e-02  7.087835e-02 -2.410126e-01  1.832650e-01  5.722388e-02
## [1101] -1.663882e-01  7.113397e-01  7.878758e-01 -5.146365e-01  2.295487e-01
## [1106]  2.803917e-01 -3.506295e-01 -3.766042e-01  2.286678e-01  1.888085e-01
## [1111]  4.006880e-01  2.524186e-01  7.897827e-02  1.501767e-01  3.420157e-01
## [1116]  1.413914e-01  2.302890e-02  1.983399e-01  1.485393e-01 -5.502437e-02
## [1121]  1.596478e-01  1.680481e-01 -2.585577e-01 -8.104742e-02  2.102644e-01
## [1126]  1.410080e-01  4.925676e-01  1.011154e-01  2.359809e-01  8.653900e-02
## [1131]  2.339531e-01  6.906544e-02  6.688111e-02  7.839244e-02  7.838028e-01
## [1136] -1.109708e-01  3.012795e-01  3.164038e-01  1.042139e-01  9.154588e-02
## [1141]  7.811911e-01  9.139725e-03  2.161155e-01  5.936769e-02 -9.684557e-03
## [1146]  2.704800e-01 -1.208561e+00 -3.024406e-01  1.733845e-01 -8.514866e-02
## [1151]  3.745255e-01  1.188409e-01  3.467244e-04  8.652364e-02  1.514929e-01
## [1156]  7.672618e-01  3.418585e-01  1.790875e-01  4.147206e-01  1.748975e-01
## [1161]  1.675075e-01  4.402053e-02 -4.705598e-02  2.321913e-01  6.001749e-03
## [1166]  7.725164e-01  2.215475e-01  4.157561e-01  1.134713e-01  2.169021e-01
## [1171] -1.390183e+00  7.595398e-02  9.849300e-02 -1.800556e-01  1.146338e-01
## [1176]  4.762322e-02  1.495092e-01  1.134547e-01 -1.172563e-01  1.904596e-01
## [1181]  8.840674e-02  1.921401e-01  1.410080e-01  2.643130e-01  1.054093e-01
## [1186]  5.660024e-02  3.344764e-01  2.739750e-01  6.377262e-01  1.943457e-01
## [1191] -1.530325e-01 -7.214001e-03  1.141899e-01  1.140532e-01  4.016176e-02
## [1196]  2.252572e-02  1.616170e-01  1.514929e-01  2.324115e-01  4.197097e-01
## [1201] -2.718530e-02  1.960452e-01  1.932126e-01  3.108413e-01  2.149512e-01
## [1206]  2.716398e-01  2.117749e-01  2.350541e-01  2.954208e-01  2.074033e-01
## [1211]  7.879380e-01  9.375638e-02  1.312788e-01  6.759884e-02  5.747392e-03
## [1216]  3.274586e-01  3.035111e-01  1.535775e-01 -3.973390e-01  1.930582e-01
## [1221]  3.565385e-02  1.881434e-01  1.322657e-01  9.569746e-02  1.368004e-01
## [1226]  1.224317e-01  4.856476e-02  1.196643e-01  2.185378e-01  2.589673e-01
## [1231]  2.310902e-01  1.056832e-01  5.643719e-02  2.909077e-01  2.371347e-01
## [1236]  4.722322e-02  1.002884e-01  3.769843e-02  1.074700e-01  1.774821e-01
## [1241]  3.245191e-01  9.151629e-02  1.663703e-01  1.847149e-01  2.227676e-01
## [1246]  1.450586e-01  3.231675e-01  5.337327e-01  1.141167e-01  2.295487e-01
## [1251]  1.974615e-01 -1.222359e-02  1.919502e-01  2.646904e-01  3.049568e-01
## [1256]  6.587741e-02  6.856960e-02  8.652364e-02  2.273465e-01  1.008729e-01
## [1261]  1.597049e-01  2.639641e-01  2.498079e-01  7.878758e-01 -1.591398e-01
## [1266]  3.864619e-02  2.590036e-01  7.455428e-02  2.904914e-01  2.830610e-01
## [1271]  1.510836e-01  6.104726e-02  7.208725e-02  3.308809e-01  2.217237e-01
## [1276]  2.823433e-01  3.753067e-01  3.374921e-01  2.997708e-01  3.045483e-01
## [1281]  3.432722e-01  5.490283e-02  1.158486e-01  1.658442e-01  1.218333e-01
## [1286]  1.411226e-01  2.992184e-01  3.330909e-01  4.139707e-01 -9.854551e-02
## [1291]  1.733845e-01  1.312788e-01  9.250832e-02  7.365424e-02  6.301386e-02
## [1296]  2.810859e-01  1.733845e-01  1.798995e-01  1.128562e-01  1.477207e-01
## [1301]  2.858590e-01  1.974615e-01  1.224317e-01  2.295487e-01  1.183843e-01
## [1306]  2.227090e-01  3.933523e-01  3.059792e-01  4.130669e-02  1.231963e-01
## [1311]  3.438690e-01  1.349740e-01  9.561187e-02  2.343935e-01  2.079327e-01
## [1316] -4.195557e-01  4.342880e-01  1.771602e-01  2.163357e-01  1.762171e-01
## [1321]  1.559855e-01  2.634011e-01  2.253646e-01  1.906633e-01  1.838996e-01
## [1326]  1.534135e-01  8.642230e-02  1.003477e-01  9.298633e-02  1.021120e-01
## [1331]  1.733845e-01  1.174395e-01  2.271263e-01  1.875474e-01  1.295575e-01
## [1336]  9.100385e-02  1.050216e-01  1.960452e-01  1.968950e-01  2.350541e-01
## [1341]  3.471360e-01  7.596405e-02  2.375846e-01  3.320073e-01  2.557599e-01
## [1346]  3.172916e-01  5.819039e-02  1.556243e-01  2.304780e-01  2.119313e-01
## [1351]  1.790497e-01  2.625522e-01  2.659167e-01  1.003911e-01  6.035458e-01
## [1356]  4.207452e-01  2.890680e-01  7.875338e-01  3.980590e-01  6.590556e-01
## [1361]  2.026805e-01  7.802894e-01  1.080189e-01  2.097291e-01  2.523954e-01
## [1366]  2.163357e-01  1.733845e-01  2.611056e-01  1.002884e-01  1.932126e-01
## [1371]  1.932126e-01  3.980590e-01  9.849300e-02  1.002884e-01  6.026700e-01
## [1376]  1.951954e-01  7.876582e-01  1.722922e-01  2.101686e-01  2.502812e-01
## [1381]  6.022011e-01  2.164617e-01  7.702278e-02  2.333659e-01  5.407764e-01
## [1386]  2.607282e-01  1.944010e-02  1.393303e-01  4.130262e-01  2.066771e-01
## [1391]  3.457853e-01  1.746538e-01  2.354946e-01  7.480188e-01  4.187684e-01
## [1396]  4.168857e-01  2.005774e-01  1.832650e-01  7.875649e-01  1.236287e-01
## [1401]  6.045148e-01  3.457853e-01  1.221119e-01 -6.184133e-02 -3.111919e-02
## [1406]  1.231963e-01 -1.176088e+01  1.263959e-01  2.375396e-01  1.434959e-02
## [1411]  1.062731e-01  6.899906e-02 -1.580339e-01  5.412462e-01  1.559855e-01
## [1416]  8.763326e-02  1.534135e-01  7.818440e-01
layoff_pca$x
##                   PC1          PC2           PC3
##    [1,]  8.741866e-02  0.351317149 -9.379621e-05
##    [2,]  1.733845e-01  0.119674026  2.663482e-03
##    [3,] -8.104742e-02  0.570320307 -3.309324e-03
##    [4,]  6.856960e-02  0.593248583  2.601392e-03
##    [5,]  2.337609e-02 -0.099184898 -2.017528e-02
##    [6,]  2.434597e-01 -0.310260213  2.096875e-03
##    [7,]  7.378512e-02  0.349227455 -1.021982e-03
##    [8,]  1.401405e-02  0.535923894 -4.822935e-04
##    [9,]  2.946350e-01 -0.498269315  5.660880e-03
##   [10,]  7.619762e-01 -3.707233541 -1.696008e-02
##   [11,]  7.833986e-01 -3.703929039  4.712191e-03
##   [12,] -8.641905e-02  0.814319836  2.547992e-03
##   [13,]  1.903800e-01  0.122279578  4.342448e-03
##   [14,] -3.523376e-01  0.185981133 -3.518564e-02
##   [15,]  3.132612e-01 -0.642306157  5.058924e-03
##   [16,] -2.382298e-02  0.970802188  4.901103e-03
##   [17,] -3.247451e-01  0.826769540  1.852886e-03
##   [18,]  1.592215e-01  0.117502733  1.264344e-03
##   [19,]  2.101696e-01 -0.119507385  2.016904e-03
##   [20,] -6.902156e-01  0.917676853  1.105623e-02
##   [21,] -1.085719e-01  0.859890011  3.340132e-03
##   [22,] -3.503581e-01  0.529049412 -1.394861e-02
##   [23,]  6.458137e-02  0.690565034  3.471157e-03
##   [24,] -3.279044e-01  0.679388419 -5.144500e-03
##   [25,]  1.308956e-01  0.113160145 -1.533931e-03
##   [26,]  4.147206e-01 -1.312248334  4.717167e-03
##   [27,]  1.677193e-01  0.118805509  2.103827e-03
##   [28,]  1.648867e-01  0.118371250  1.824000e-03
##   [29,]  1.393950e-01  0.261355887  2.074124e-03
##   [30,]  7.725164e-01 -3.705607668 -6.296943e-03
##   [31,]  2.746696e-02  0.635913825  1.741474e-03
##   [32,]  2.562884e-01 -0.259328231  5.244944e-03
##   [33,]  1.877074e-01 -0.122951764 -9.258715e-04
##   [34,]  1.074700e-01  0.599209934  4.138178e-03
##   [35,] -1.288722e+00  0.728046870  2.380998e-03
##   [36,] -8.846585e-02  0.911934689  4.347510e-03
##   [37,]  8.575101e-02  0.400025734  6.713603e-04
##   [38,]  2.441169e-01 -0.261194890  3.403912e-03
##   [39,]  1.960452e-01  0.123148096  4.902103e-03
##   [40,] -4.832359e-02  0.820156751  3.011848e-03
##   [41,] -6.541468e-03  0.826558528  3.520593e-03
##   [42,]  1.456109e-01  0.409200469  4.406425e-03
##   [43,]  1.943139e-01 -0.121938712 -6.034941e-05
##   [44,] -1.685510e-01  0.361048809 -1.521205e-02
##   [45,]  2.304780e-01 -0.361215979 -1.399799e-03
##   [46,]  1.068141e-01  0.354290011  1.233299e-03
##   [47,]  3.374921e-01 -0.834448221  3.860784e-03
##   [48,]  3.227280e-01 -0.689818589  5.525462e-03
##   [49,]  1.292811e-01  0.504625170  4.362099e-03
##   [50,] -1.426321e-01  0.267090116 -1.813731e-02
##   [51,]  1.104624e-01  0.599668500  4.256393e-03
##   [52,]  2.482760e-01 -0.358486186  1.543429e-03
##   [53,]  2.761504e-01 -0.501104819  2.216981e-03
##   [54,]  4.130669e-02  0.735962354  3.322261e-03
##   [55,]  8.034177e-02  0.741943673  4.219538e-03
##   [56,]  2.052376e-01 -0.218192778 -1.089369e-03
##   [57,]  1.044777e-01  0.598751369  4.019964e-03
##   [58,]  1.521401e-01  0.116417086  5.647755e-04
##   [59,] -1.029309e-01  0.909718533  4.323490e-03
##   [60,]  1.903800e-01  0.122279578  4.342448e-03
##   [61,]  1.030371e-01  0.647494244  4.303753e-03
##   [62,]  6.856960e-02  0.593248583  2.601392e-03
##   [63,]  3.440261e-01 -0.833445543  5.428725e-03
##   [64,]  2.163357e-01 -0.118561869  2.824724e-03
##   [65,] -8.703211e-02  0.569403176 -3.545753e-03
##   [66,]  1.534135e-01  0.361432605  4.417635e-03
##   [67,]  1.949122e-01  0.122974392  4.790172e-03
##   [68,]  1.506491e-01  0.409972673  4.719651e-03
##   [69,]  3.027882e-01 -0.594948048  4.414942e-03
##   [70,]  1.875474e-01  0.121845320  4.062620e-03
##   [71,]  1.014853e-01  0.598292803  3.901750e-03
##   [72,]  3.061511e-01 -0.594432126  5.101945e-03
##   [73,]  1.875474e-01  0.121845320  4.062620e-03
##   [74,] -5.016248e-01  0.652769367 -9.129216e-03
##   [75,]  6.053405e-02  0.934762542  4.591592e-03
##   [76,]  2.482760e-01 -0.358486186  1.543429e-03
##   [77,]  1.819436e-01  0.072022051  2.664276e-03
##   [78,] -2.497476e-02  0.823734214  3.296146e-03
##   [79,] -1.217130e+00  0.347248186 -5.606479e-02
##   [80,]  2.519445e-01 -0.504817974 -2.295923e-03
##   [81,]  2.145033e-02  0.634991833  1.537368e-03
##   [82,]  3.027882e-01 -0.594948048  4.414942e-03
##   [83,]  4.856476e-02  0.345361769 -2.747119e-03
##   [84,]  1.494335e-01  0.164966420  1.248588e-03
##   [85,]  7.858860e-01 -3.703545352  7.228565e-03
##   [86,] -6.197556e-01  0.732603033 -3.945985e-03
##   [87,]  3.746589e-02  0.196766516 -7.562811e-03
##   [88,]  6.856960e-02  0.593248583  2.601392e-03
##   [89,]  9.735229e-02  0.548695669  3.280225e-03
##   [90,]  6.994503e-02  0.740350586  3.980091e-03
##   [91,]  2.730850e-02  0.880708593  4.274973e-03
##   [92,] -2.768964e-01  0.785135264  2.287145e-04
##   [93,] -5.112402e-02  0.574905962 -2.127181e-03
##   [94,]  1.361867e-01  0.309828157  2.573548e-03
##   [95,]  1.647648e-01  0.216280818  3.437600e-03
##   [96,]  6.990540e-02  0.691380859  3.621034e-03
##   [97,]  5.970115e-01 -2.508403711  3.515392e-03
##   [98,]  5.839564e-02  0.591689460  2.199464e-03
##   [99,] -7.923405e-02  0.864384933  3.541973e-03
##  [100,]  2.678978e-01 -0.355476653  4.780372e-03
##  [101,]  1.124243e-01  0.648932746  4.620865e-03
##  [102,]  2.393455e-01 -0.359855911  7.224909e-05
##  [103,]  2.480618e-01 -0.407483775  1.027615e-04
##  [104,]  5.213362e-01 -2.128299753 -4.617546e-03
##  [105,]  2.651879e-01 -0.551751416 -1.435023e-03
##  [106,]  2.485514e-01 -0.260514791  4.076159e-03
##  [107,]  3.797401e-02  0.784415440  3.695866e-03
##  [108,]  1.612813e-01 -0.127003975 -4.387960e-03
##  [109,]  1.762171e-01  0.120108285  2.943310e-03
##  [110,]  9.250832e-02  0.596917107  3.547107e-03
##  [111,]  1.471793e-01  0.360477040  3.993346e-03
##  [112,]  2.155800e-01 -0.069713415  3.736738e-03
##  [113,]  4.818249e-02  0.785979620  3.874141e-03
##  [114,]  2.850101e-01 -0.450781060  5.228401e-03
##  [115,]  2.218411e-01 -0.117717659  3.545992e-03
##  [116,]  2.609925e-02  0.978450364  4.723883e-03
##  [117,]  1.762009e-02  0.781296738  3.338450e-03
##  [118,]  8.034177e-02  0.741943673  4.219538e-03
##  [119,]  7.865078e-01 -3.703449430  7.857658e-03
##  [120,]  1.277310e-01  0.455423860  3.832542e-03
##  [121,] -4.944328e-03  0.484054030 -2.461954e-03
##  [122,]  2.446912e-01 -0.359036007  9.551307e-04
##  [123,]  1.262095e-01  0.357262872  2.560395e-03
##  [124,]  7.879380e-01 -3.703228810  9.304573e-03
##  [125,] -2.232864e-01  0.303693420 -2.132212e-02
##  [126,]  1.130484e-01  0.355245576  1.657588e-03
##  [127,]  1.164470e-01  0.600585631  4.492821e-03
##  [128,]  1.140532e-01  0.600218779  4.398250e-03
##  [129,]  1.167327e-01  0.110988852 -2.933069e-03
##  [130,]  9.475488e-02  0.352441622  4.109688e-04
##  [131,]  1.514929e-01  0.361138216  4.284665e-03
##  [132,]  2.700361e-01 -0.355148691  5.133525e-03
##  [133,]  7.455428e-02  0.594165714  2.837821e-03
##  [134,]  1.912298e-01  0.122409856  4.426396e-03
##  [135,] -2.419296e-02  0.579033052 -1.063252e-03
##  [136,] -2.387787e-02  0.725974174  1.828535e-03
##  [137,]  5.490283e-02  0.835972906  4.268747e-03
##  [138,] -1.196876e+00  0.840246048  1.548089e-02
##  [139,]  3.435235e-01 -0.833522672  5.308114e-03
##  [140,] -4.054173e-01  0.471645082 -1.941657e-02
##  [141,]  1.881140e-01  0.121932171  4.118586e-03
##  [142,]  6.334780e-01 -2.747633671  3.128263e-03
##  [143,]  1.300299e-01  0.455776194  3.960304e-03
##  [144,]  2.810859e-01 -0.500347721  3.137394e-03
##  [145,]  7.133036e-01 -3.225032023  7.711052e-03
##  [146,]  7.600796e-01 -3.707526103 -1.887881e-02
##  [147,] -6.486919e-03  0.728638976  2.226746e-03
##  [148,]  2.074941e-01 -0.070953255  2.732170e-03
##  [149,]  9.193498e-02  0.547865455  3.035984e-03
##  [150,]  9.710870e-03  0.339406388 -5.400443e-03
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## [1408,]  1.263959e-01  0.438897964  3.582270e-03
## [1409,]  2.375396e-01 -0.604958117 -8.715106e-03
## [1410,]  1.434959e-02  0.829759416  3.774965e-03
## [1411,]  1.062731e-01  0.599026508  4.090893e-03
## [1412,]  6.899906e-02  0.887096113  4.561799e-03
## [1413,] -1.580339e-01 -0.175968190 -4.622153e-02
## [1414,]  5.412462e-01 -2.125239129  5.310808e-03
## [1415,]  1.559855e-01  0.263899024  3.407956e-03
## [1416,]  8.763326e-02  0.645133749  3.782534e-03
## [1417,]  1.534135e-01  0.361432605  4.417635e-03
## [1418,]  7.818440e-01 -3.704168843  3.139458e-03
plot(layoff_pca$x,xlim=xlim,ylim=xlim)

layoff_pca$rotation[,1]
##                  Percentage Company_Size_before_Layoffs 
##                   0.1514384                  -0.6988979 
##  Company_Size_after_layoffs 
##                  -0.6990051
layoff_pca$rotation
##                                    PC1        PC2          PC3
## Percentage                   0.1514384 -0.9884662  0.001024988
## Company_Size_before_Layoffs -0.6988979 -0.1078082 -0.707049553
## Company_Size_after_layoffs  -0.6990051 -0.1063581  0.707163262
plot(layoff[,-1])

layoff_pca$x
##                   PC1          PC2           PC3
##    [1,]  8.741866e-02  0.351317149 -9.379621e-05
##    [2,]  1.733845e-01  0.119674026  2.663482e-03
##    [3,] -8.104742e-02  0.570320307 -3.309324e-03
##    [4,]  6.856960e-02  0.593248583  2.601392e-03
##    [5,]  2.337609e-02 -0.099184898 -2.017528e-02
##    [6,]  2.434597e-01 -0.310260213  2.096875e-03
##    [7,]  7.378512e-02  0.349227455 -1.021982e-03
##    [8,]  1.401405e-02  0.535923894 -4.822935e-04
##    [9,]  2.946350e-01 -0.498269315  5.660880e-03
##   [10,]  7.619762e-01 -3.707233541 -1.696008e-02
##   [11,]  7.833986e-01 -3.703929039  4.712191e-03
##   [12,] -8.641905e-02  0.814319836  2.547992e-03
##   [13,]  1.903800e-01  0.122279578  4.342448e-03
##   [14,] -3.523376e-01  0.185981133 -3.518564e-02
##   [15,]  3.132612e-01 -0.642306157  5.058924e-03
##   [16,] -2.382298e-02  0.970802188  4.901103e-03
##   [17,] -3.247451e-01  0.826769540  1.852886e-03
##   [18,]  1.592215e-01  0.117502733  1.264344e-03
##   [19,]  2.101696e-01 -0.119507385  2.016904e-03
##   [20,] -6.902156e-01  0.917676853  1.105623e-02
##   [21,] -1.085719e-01  0.859890011  3.340132e-03
##   [22,] -3.503581e-01  0.529049412 -1.394861e-02
##   [23,]  6.458137e-02  0.690565034  3.471157e-03
##   [24,] -3.279044e-01  0.679388419 -5.144500e-03
##   [25,]  1.308956e-01  0.113160145 -1.533931e-03
##   [26,]  4.147206e-01 -1.312248334  4.717167e-03
##   [27,]  1.677193e-01  0.118805509  2.103827e-03
##   [28,]  1.648867e-01  0.118371250  1.824000e-03
##   [29,]  1.393950e-01  0.261355887  2.074124e-03
##   [30,]  7.725164e-01 -3.705607668 -6.296943e-03
##   [31,]  2.746696e-02  0.635913825  1.741474e-03
##   [32,]  2.562884e-01 -0.259328231  5.244944e-03
##   [33,]  1.877074e-01 -0.122951764 -9.258715e-04
##   [34,]  1.074700e-01  0.599209934  4.138178e-03
##   [35,] -1.288722e+00  0.728046870  2.380998e-03
##   [36,] -8.846585e-02  0.911934689  4.347510e-03
##   [37,]  8.575101e-02  0.400025734  6.713603e-04
##   [38,]  2.441169e-01 -0.261194890  3.403912e-03
##   [39,]  1.960452e-01  0.123148096  4.902103e-03
##   [40,] -4.832359e-02  0.820156751  3.011848e-03
##   [41,] -6.541468e-03  0.826558528  3.520593e-03
##   [42,]  1.456109e-01  0.409200469  4.406425e-03
##   [43,]  1.943139e-01 -0.121938712 -6.034941e-05
##   [44,] -1.685510e-01  0.361048809 -1.521205e-02
##   [45,]  2.304780e-01 -0.361215979 -1.399799e-03
##   [46,]  1.068141e-01  0.354290011  1.233299e-03
##   [47,]  3.374921e-01 -0.834448221  3.860784e-03
##   [48,]  3.227280e-01 -0.689818589  5.525462e-03
##   [49,]  1.292811e-01  0.504625170  4.362099e-03
##   [50,] -1.426321e-01  0.267090116 -1.813731e-02
##   [51,]  1.104624e-01  0.599668500  4.256393e-03
##   [52,]  2.482760e-01 -0.358486186  1.543429e-03
##   [53,]  2.761504e-01 -0.501104819  2.216981e-03
##   [54,]  4.130669e-02  0.735962354  3.322261e-03
##   [55,]  8.034177e-02  0.741943673  4.219538e-03
##   [56,]  2.052376e-01 -0.218192778 -1.089369e-03
##   [57,]  1.044777e-01  0.598751369  4.019964e-03
##   [58,]  1.521401e-01  0.116417086  5.647755e-04
##   [59,] -1.029309e-01  0.909718533  4.323490e-03
##   [60,]  1.903800e-01  0.122279578  4.342448e-03
##   [61,]  1.030371e-01  0.647494244  4.303753e-03
##   [62,]  6.856960e-02  0.593248583  2.601392e-03
##   [63,]  3.440261e-01 -0.833445543  5.428725e-03
##   [64,]  2.163357e-01 -0.118561869  2.824724e-03
##   [65,] -8.703211e-02  0.569403176 -3.545753e-03
##   [66,]  1.534135e-01  0.361432605  4.417635e-03
##   [67,]  1.949122e-01  0.122974392  4.790172e-03
##   [68,]  1.506491e-01  0.409972673  4.719651e-03
##   [69,]  3.027882e-01 -0.594948048  4.414942e-03
##   [70,]  1.875474e-01  0.121845320  4.062620e-03
##   [71,]  1.014853e-01  0.598292803  3.901750e-03
##   [72,]  3.061511e-01 -0.594432126  5.101945e-03
##   [73,]  1.875474e-01  0.121845320  4.062620e-03
##   [74,] -5.016248e-01  0.652769367 -9.129216e-03
##   [75,]  6.053405e-02  0.934762542  4.591592e-03
##   [76,]  2.482760e-01 -0.358486186  1.543429e-03
##   [77,]  1.819436e-01  0.072022051  2.664276e-03
##   [78,] -2.497476e-02  0.823734214  3.296146e-03
##   [79,] -1.217130e+00  0.347248186 -5.606479e-02
##   [80,]  2.519445e-01 -0.504817974 -2.295923e-03
##   [81,]  2.145033e-02  0.634991833  1.537368e-03
##   [82,]  3.027882e-01 -0.594948048  4.414942e-03
##   [83,]  4.856476e-02  0.345361769 -2.747119e-03
##   [84,]  1.494335e-01  0.164966420  1.248588e-03
##   [85,]  7.858860e-01 -3.703545352  7.228565e-03
##   [86,] -6.197556e-01  0.732603033 -3.945985e-03
##   [87,]  3.746589e-02  0.196766516 -7.562811e-03
##   [88,]  6.856960e-02  0.593248583  2.601392e-03
##   [89,]  9.735229e-02  0.548695669  3.280225e-03
##   [90,]  6.994503e-02  0.740350586  3.980091e-03
##   [91,]  2.730850e-02  0.880708593  4.274973e-03
##   [92,] -2.768964e-01  0.785135264  2.287145e-04
##   [93,] -5.112402e-02  0.574905962 -2.127181e-03
##   [94,]  1.361867e-01  0.309828157  2.573548e-03
##   [95,]  1.647648e-01  0.216280818  3.437600e-03
##   [96,]  6.990540e-02  0.691380859  3.621034e-03
##   [97,]  5.970115e-01 -2.508403711  3.515392e-03
##   [98,]  5.839564e-02  0.591689460  2.199464e-03
##   [99,] -7.923405e-02  0.864384933  3.541973e-03
##  [100,]  2.678978e-01 -0.355476653  4.780372e-03
##  [101,]  1.124243e-01  0.648932746  4.620865e-03
##  [102,]  2.393455e-01 -0.359855911  7.224909e-05
##  [103,]  2.480618e-01 -0.407483775  1.027615e-04
##  [104,]  5.213362e-01 -2.128299753 -4.617546e-03
##  [105,]  2.651879e-01 -0.551751416 -1.435023e-03
##  [106,]  2.485514e-01 -0.260514791  4.076159e-03
##  [107,]  3.797401e-02  0.784415440  3.695866e-03
##  [108,]  1.612813e-01 -0.127003975 -4.387960e-03
##  [109,]  1.762171e-01  0.120108285  2.943310e-03
##  [110,]  9.250832e-02  0.596917107  3.547107e-03
##  [111,]  1.471793e-01  0.360477040  3.993346e-03
##  [112,]  2.155800e-01 -0.069713415  3.736738e-03
##  [113,]  4.818249e-02  0.785979620  3.874141e-03
##  [114,]  2.850101e-01 -0.450781060  5.228401e-03
##  [115,]  2.218411e-01 -0.117717659  3.545992e-03
##  [116,]  2.609925e-02  0.978450364  4.723883e-03
##  [117,]  1.762009e-02  0.781296738  3.338450e-03
##  [118,]  8.034177e-02  0.741943673  4.219538e-03
##  [119,]  7.865078e-01 -3.703449430  7.857658e-03
##  [120,]  1.277310e-01  0.455423860  3.832542e-03
##  [121,] -4.944328e-03  0.484054030 -2.461954e-03
##  [122,]  2.446912e-01 -0.359036007  9.551307e-04
##  [123,]  1.262095e-01  0.357262872  2.560395e-03
##  [124,]  7.879380e-01 -3.703228810  9.304573e-03
##  [125,] -2.232864e-01  0.303693420 -2.132212e-02
##  [126,]  1.130484e-01  0.355245576  1.657588e-03
##  [127,]  1.164470e-01  0.600585631  4.492821e-03
##  [128,]  1.140532e-01  0.600218779  4.398250e-03
##  [129,]  1.167327e-01  0.110988852 -2.933069e-03
##  [130,]  9.475488e-02  0.352441622  4.109688e-04
##  [131,]  1.514929e-01  0.361138216  4.284665e-03
##  [132,]  2.700361e-01 -0.355148691  5.133525e-03
##  [133,]  7.455428e-02  0.594165714  2.837821e-03
##  [134,]  1.912298e-01  0.122409856  4.426396e-03
##  [135,] -2.419296e-02  0.579033052 -1.063252e-03
##  [136,] -2.387787e-02  0.725974174  1.828535e-03
##  [137,]  5.490283e-02  0.835972906  4.268747e-03
##  [138,] -1.196876e+00  0.840246048  1.548089e-02
##  [139,]  3.435235e-01 -0.833522672  5.308114e-03
##  [140,] -4.054173e-01  0.471645082 -1.941657e-02
##  [141,]  1.881140e-01  0.121932171  4.118586e-03
##  [142,]  6.334780e-01 -2.747633671  3.128263e-03
##  [143,]  1.300299e-01  0.455776194  3.960304e-03
##  [144,]  2.810859e-01 -0.500347721  3.137394e-03
##  [145,]  7.133036e-01 -3.225032023  7.711052e-03
##  [146,]  7.600796e-01 -3.707526103 -1.887881e-02
##  [147,] -6.486919e-03  0.728638976  2.226746e-03
##  [148,]  2.074941e-01 -0.070953255  2.732170e-03
##  [149,]  9.193498e-02  0.547865455  3.035984e-03
##  [150,]  9.710870e-03  0.339406388 -5.400443e-03
##  [151,]  1.289118e-01  0.259748934  1.230094e-03
##  [152,]  9.375638e-02  0.499180720  2.555656e-03
##  [153,] -3.908758e-02  0.870535877  3.818176e-03
##  [154,]  3.382460e-01 -0.834332527  4.041700e-03
##  [155,]  2.926677e-01 -0.596500678  2.386258e-03
##  [156,]  7.096943e-02  0.642580170  3.214898e-03
##  [157,]  9.250832e-02  0.596917107  3.547107e-03
##  [158,]  6.657743e-02  0.495015327  1.176312e-03
##  [159,]  1.107184e-01  0.354888446  1.498371e-03
##  [160,]  7.693880e-02  0.496603292  1.703191e-03
##  [161,] -1.883033e-02  0.824675652  3.370962e-03
##  [162,]  2.409379e-01 -0.212717954  4.062346e-03
##  [163,]  8.763326e-02  0.645133749  3.782534e-03
##  [164,] -5.164216e-01  0.895334794  6.263282e-03
##  [165,] -1.712226e-01  0.899255767  4.211619e-03
##  [166,]  7.455428e-02  0.594165714  2.837821e-03
##  [167,] -1.281856e-01  0.661026399 -2.004871e-03
##  [168,]  1.252304e-01  0.112291628 -2.093586e-03
##  [169,]  2.163357e-01 -0.118561869  2.824724e-03
##  [170,]  2.678978e-01 -0.355476653  4.780372e-03
##  [171,]  9.712401e-02  0.695551701  4.394059e-03
##  [172,]  1.677193e-01  0.118805509  2.103827e-03
##  [173,]  8.915184e-02  0.400546975  8.795987e-04
##  [174,]  5.061556e-02  0.590497190  1.892106e-03
##  [175,]  2.616402e-01 -0.356436426  3.750633e-03
##  [176,]  5.823169e-02  0.493736271  7.492120e-04
##  [177,]  1.361867e-01  0.309828157  2.573548e-03
##  [178,]  5.431838e-02  0.737956127  3.621353e-03
##  [179,]  1.313780e-01  0.407018996  3.518374e-03
##  [180,]  1.044777e-01  0.598751369  4.019964e-03
##  [181,]  1.572932e-01 -0.176580359 -6.414322e-03
##  [182,] -1.601433e-02  0.923034781  4.465872e-03
##  [183,]  2.144410e-01 -0.363675691 -4.048444e-03
##  [184,]  2.879533e-01 -0.597223942  1.430919e-03
##  [185,]  4.392696e-04  0.533843530 -1.092461e-03
##  [186,]  2.067704e-01 -0.022099939  3.611862e-03
##  [187,]  3.797401e-02  0.784415440  3.695866e-03
##  [188,]  9.370526e-02  0.597100533  3.594393e-03
##  [189,] -5.230489e-01  0.845353451  3.635602e-03
##  [190,]  1.159171e-01  0.404649300  2.551582e-03
##  [191,]  1.762009e-02  0.781296738  3.338450e-03
##  [192,] -1.021132e+00  0.720074308 -2.938173e-03
##  [193,]  1.788987e-01 -0.124302501 -2.079901e-03
##  [194,]  6.761389e-02  0.348281547 -1.447139e-03
##  [195,] -4.497857e-01  0.024137111 -5.889858e-02
##  [196,] -2.620773e-01  0.297747697 -2.397631e-02
##  [197,]  2.922143e-01 -0.498640637  5.215968e-03
##  [198,]  1.104624e-01  0.599668500  4.256393e-03
##  [199,]  2.565086e-01 -0.259294462  5.273795e-03
##  [200,] -3.398859e-01  0.628586519 -8.017289e-03
##  [201,]  1.118834e-01  0.355067011  1.577980e-03
##  [202,]  8.652364e-02  0.595999976  3.310678e-03
##  [203,]  2.858642e-01 -0.499614734  4.028087e-03
##  [204,]  1.404534e-01  0.457373751  4.550093e-03
##  [205,]  1.277310e-01  0.455423860  3.832542e-03
##  [206,]  9.331213e-02  0.694967589  4.287128e-03
##  [207,]  2.168936e-01 -0.363299507 -3.635854e-03
##  [208,] -2.519073e-02  0.872665050  3.913785e-03
##  [209,] -8.637892e-03  0.287629086 -8.185566e-03
##  [210,] -3.741882e-02  0.528041689 -2.803012e-03
##  [211,]  7.080119e-02  0.544626654  2.083533e-03
##  [212,]  9.375638e-02  0.499180720  2.555656e-03
##  [213,]  1.542582e-01  0.312598212  3.918871e-03
##  [214,]  1.889637e-01  0.122062449  4.202534e-03
##  [215,]  1.397540e-01  0.408302784  4.040706e-03
##  [216,]  2.622974e-01 -0.307371104  5.057670e-03
##  [217,]  2.922143e-01 -0.498640637  5.215968e-03
##  [218,]  4.107670e-01 -1.312855383  3.432526e-03
##  [219,]  2.625522e-01 -0.356296556  3.897491e-03
##  [220,] -6.569392e-01 -0.987047986 -2.347677e-01
##  [221,]  1.322657e-01  0.456118870  4.088934e-03
##  [222,]  2.001567e-02 -0.197631627 -2.531180e-02
##  [223,]  7.163094e-02  0.642681541  3.237673e-03
##  [224,]  9.516422e-02  0.352504362  4.372156e-04
##  [225,]  2.611056e-01 -0.356518417  3.662345e-03
##  [226,]  1.257852e-01  0.504089410  4.187052e-03
##  [227,]  6.138798e-02  0.592148026  2.317678e-03
##  [228,]  7.381973e-02  0.006480118 -1.033070e-02
##  [229,]  6.092070e-02  0.641040297  2.875011e-03
##  [230,]  1.103768e-01  0.648618977  4.553409e-03
##  [231,]  1.336088e-01  0.358397002  3.064292e-03
##  [232,] -9.051428e-02  0.911620854  4.343830e-03
##  [233,]  2.346137e-01 -0.115759090  5.219335e-03
##  [234,]  1.804660e-01  0.120759673  3.363051e-03
##  [235,]  1.739612e-01  0.266654496  4.850247e-03
##  [236,]  3.357329e-01 -0.834718172  3.438646e-03
##  [237,] -3.787885e-01  0.818489422  1.481074e-03
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## [1243,]  1.663703e-01  0.216526919  3.574910e-03
## [1244,]  1.847149e-01  0.121411061  3.782793e-03
## [1245,]  2.227676e-01 -0.607224353 -1.170000e-02
## [1246,]  1.450586e-01  0.115331439 -1.347934e-04
## [1247,]  3.231675e-01 -0.836646398  4.233760e-04
## [1248,]  5.337327e-01 -2.126394106  1.588326e-03
## [1249,]  1.141167e-01  0.306445213  9.325661e-04
## [1250,]  2.295487e-01 -0.116535764  4.555768e-03
## [1251,]  1.974615e-01  0.123365225  5.042017e-03
## [1252,] -1.222359e-02  0.580867314 -5.903946e-04
## [1253,]  1.919502e-01 -0.024372277  1.871062e-03
## [1254,]  2.646904e-01 -0.355968595  4.250643e-03
## [1255,]  3.049568e-01 -0.594615356  4.863327e-03
## [1256,]  6.587741e-02 -1.071999436 -7.832725e-02
## [1257,]  6.856960e-02  0.593248583  2.601392e-03
## [1258,]  8.652364e-02  0.595999976  3.310678e-03
## [1259,]  2.273465e-01 -0.116873448  4.267261e-03
## [1260,]  1.008729e-01  0.696126156  4.501857e-03
## [1261,]  1.597049e-01  0.313433092  4.322121e-03
## [1262,]  2.639641e-01 -0.307115475  5.321667e-03
## [1263,]  2.498079e-01 -0.211357690  5.343062e-03
## [1264,]  7.878758e-01 -3.703238402  9.241664e-03
## [1265,] -1.591398e-01  0.215593859 -2.190427e-02
## [1266,]  3.864619e-02  0.588662928  1.419249e-03
## [1267,]  2.590036e-01 -0.405805469  1.992607e-03
## [1268,]  7.455428e-02  0.594165714  2.837821e-03
## [1269,]  2.904914e-01 -0.547869679  3.477245e-03
## [1270,]  2.830610e-01 -0.451080049  4.872644e-03
## [1271,]  1.510836e-01  0.361075475  4.258418e-03
## [1272,]  6.104726e-02  0.836914344  4.343562e-03
## [1273,]  7.208725e-02  0.887569263  4.583046e-03
## [1274,]  3.308809e-01 -1.080290329 -8.495044e-03
## [1275,]  2.217237e-01 -0.264629155  1.382823e-05
## [1276,]  2.823433e-01 -0.500154833  3.375143e-03
## [1277,]  3.753067e-01 -1.073471100  3.997100e-03
## [1278,]  3.374921e-01 -0.834448221  3.860784e-03
## [1279,]  2.997708e-01 -0.595410953  3.818832e-03
## [1280,]  3.045483e-01 -0.594678031  4.773303e-03
## [1281,]  3.432722e-01 -0.833561237  5.247808e-03
## [1282,]  5.490283e-02  0.835972906  4.268747e-03
## [1283,]  1.158486e-01  0.600493918  4.469179e-03
## [1284,]  1.658442e-01  0.314374138  4.779600e-03
## [1285,]  1.218333e-01  0.601411049  4.705607e-03
## [1286,]  1.411226e-01  0.506439987  4.964247e-03
## [1287,]  2.992184e-01 -1.329982818 -3.281270e-02
## [1288,]  3.330909e-01 -1.030985333 -5.487719e-03
## [1289,]  4.139707e-01 -1.459261428 -3.333639e-03
## [1290,] -9.854551e-02  0.714532907  1.146649e-04
## [1291,]  1.733845e-01  0.119674026  2.663482e-03
## [1292,]  1.312788e-01  0.358039873  2.905075e-03
## [1293,]  9.250832e-02  0.596917107  3.547107e-03
## [1294,]  7.365424e-02  0.691955314  3.728832e-03
## [1295,]  6.301386e-02  0.739288528  3.820459e-03
## [1296,]  2.810859e-01 -0.500347721  3.137394e-03
## [1297,]  1.733845e-01  0.119674026  2.663482e-03
## [1298,]  1.798995e-01  0.120672821  3.307086e-03
## [1299,]  1.128562e-01  0.600035352  4.350964e-03
## [1300,]  1.477207e-01  0.409523830  4.536791e-03
## [1301,]  2.858590e-01 -0.450650848  5.376127e-03
## [1302,]  1.974615e-01  0.123365225  5.042017e-03
## [1303,]  1.224317e-01  0.601502762  4.729250e-03
## [1304,]  2.295487e-01 -0.116535764  4.555768e-03
## [1305,]  1.183843e-01  0.502955150  3.810709e-03
## [1306,]  2.227090e-01 -0.509302682 -7.759826e-03
## [1307,]  3.933523e-01 -1.315529286 -2.226012e-03
## [1308,]  3.059792e-01 -0.692388349  1.898251e-03
## [1309,]  4.130669e-02  0.735962354  3.322261e-03
## [1310,]  1.231963e-01  0.454728850  3.576150e-03
## [1311,]  3.438690e-01 -0.833469654  5.399006e-03
## [1312,]  1.349740e-01  0.456533944  4.242943e-03
## [1313,]  9.561187e-02  0.695319988  4.351113e-03
## [1314,]  2.343935e-01 -0.115792858  5.190484e-03
## [1315,]  2.079327e-01 -0.609500247 -1.468402e-02
## [1316,] -4.195557e-01  0.861209346  3.804814e-03
## [1317,]  4.342880e-01 -1.505107365  1.128264e-03
## [1318,]  1.771602e-01  0.022324394  1.190871e-03
## [1319,]  2.163357e-01 -0.118561869  2.824724e-03
## [1320,]  1.762171e-01  0.120108285  2.943310e-03
## [1321,]  1.559855e-01  0.263899024  3.407956e-03
## [1322,]  2.634011e-01 -0.356166344  4.045216e-03
## [1323,]  2.253646e-01 -0.117177364  4.007604e-03
## [1324,]  1.906633e-01  0.122323004  4.370430e-03
## [1325,]  1.838996e-01  0.170250119  4.440565e-03
## [1326,]  1.534135e-01  0.361432605  4.417635e-03
## [1327,]  8.642230e-02  0.742875388  4.358999e-03
## [1328,]  1.003477e-01  0.745009162  4.677394e-03
## [1329,]  9.298633e-02  0.792844628  4.660109e-03
## [1330,]  1.021120e-01  0.745279505  4.716868e-03
## [1331,]  1.733845e-01  0.119674026  2.663482e-03
## [1332,]  1.174395e-01  0.502810354  3.759951e-03
## [1333,]  2.271263e-01 -0.116907216  4.238410e-03
## [1334,]  1.875474e-01  0.121845320  4.062620e-03
## [1335,]  1.295575e-01  0.455703796  3.934925e-03
## [1336,]  9.100385e-02  0.645650259  3.895541e-03
## [1337,]  1.050216e-01  0.647798355  4.372077e-03
## [1338,]  1.960452e-01  0.123148096  4.902103e-03
## [1339,]  1.968950e-01  0.123278373  4.986051e-03
## [1340,]  2.350541e-01 -0.115691553  5.277037e-03
## [1341,]  3.471360e-01 -0.832968316  6.182976e-03
## [1342,]  7.596405e-02  0.202668096 -4.235052e-03
## [1343,]  2.375846e-01 -0.360125993 -2.223341e-04
## [1344,]  3.320073e-01 -0.884255143  6.434844e-04
## [1345,]  2.557599e-01 -0.357338320  2.779463e-03
## [1346,]  3.172916e-01 -0.690652685  4.356885e-03
## [1347,]  5.819039e-02  0.885440089  4.487437e-03
## [1348,]  1.556243e-01  0.410735220  5.033744e-03
## [1349,]  2.304780e-01 -0.361215979 -1.399799e-03
## [1350,]  2.119313e-01 -0.119237238  2.247709e-03
## [1351,]  1.790497e-01  0.120542543  3.223137e-03
## [1352,]  2.625522e-01 -0.356296556  3.897491e-03
## [1353,]  2.659167e-01 -0.355780503  4.456938e-03
## [1354,]  1.003911e-01  0.647088762  4.212653e-03
## [1355,]  6.035458e-01 -2.507398588  7.410771e-03
## [1356,]  4.207452e-01 -1.311323308  6.674715e-03
## [1357,]  2.890680e-01 -0.792913614 -5.634205e-03
## [1358,]  7.875338e-01 -3.703291159  8.895663e-03
## [1359,]  3.980590e-01 -1.314806609 -6.966772e-04
## [1360,]  6.590556e-01 -2.988540336 -5.430345e-03
## [1361,]  2.026805e-01 -0.365479479 -5.990783e-03
## [1362,]  7.802894e-01 -3.704408647  1.566724e-03
## [1363,]  1.080189e-01  0.272867710 -1.265575e-04
## [1364,]  2.097291e-01 -0.119574922  1.959202e-03
## [1365,]  2.523954e-01 -0.357854374  2.220016e-03
## [1366,]  2.163357e-01 -0.118561869  2.824724e-03
## [1367,]  1.733845e-01  0.119674026  2.663482e-03
## [1368,]  2.611056e-01 -0.356518417  3.662345e-03
## [1369,]  1.002884e-01  0.598109377  3.854464e-03
## [1370,]  1.932126e-01  0.122713837  4.622275e-03
## [1371,]  1.932126e-01  0.122713837  4.622275e-03
## [1372,]  3.980590e-01 -1.314806609 -6.966772e-04
## [1373,]  9.849300e-02  0.597834238  3.783535e-03
## [1374,]  1.002884e-01  0.598109377  3.854464e-03
## [1375,]  6.026700e-01 -2.507533270  6.912704e-03
## [1376,]  1.951954e-01  0.123017818  4.818155e-03
## [1377,]  7.876582e-01 -3.703271975  9.021481e-03
## [1378,]  1.722922e-01 -0.125315554 -2.945423e-03
## [1379,]  2.101686e-01 -0.021578894  4.011432e-03
## [1380,]  2.502812e-01 -0.260249505  4.339288e-03
## [1381,]  6.022011e-01 -2.507605407  6.632216e-03
## [1382,]  2.164617e-01 -0.020613998  4.753739e-03
## [1383,]  7.702278e-02  0.839362082  4.538082e-03
## [1384,]  2.333659e-01 -0.507667931 -5.770409e-03
## [1385,]  5.407764e-01 -2.125311332  5.094097e-03
## [1386,]  2.607282e-01 -0.356576296  3.603776e-03
## [1387,]  1.944010e-02  0.340897648 -4.737329e-03
## [1388,]  1.393303e-01  0.212381820  1.237171e-03
## [1389,]  4.130262e-01 -1.312508498  4.166607e-03
## [1390,]  2.066771e-01  0.026849951  4.482873e-03
## [1391,]  3.457853e-01 -0.833175592  5.850862e-03
## [1392,]  1.746538e-01  0.266760662  4.904477e-03
## [1393,]  2.354946e-01 -0.115624016  5.334738e-03
## [1394,]  7.480188e-01 -3.611443620 -1.531540e-02
## [1395,]  4.187684e-01 -1.311626832  6.032395e-03
## [1396,]  4.168857e-01 -1.311915903  5.420661e-03
## [1397,]  2.005774e-01  0.123842910  5.349827e-03
## [1398,]  1.832650e-01  0.023260383  1.872005e-03
## [1399,]  7.875649e-01 -3.703286363  8.927117e-03
## [1400,]  1.236287e-01  0.601686188  4.776536e-03
## [1401,]  6.045148e-01 -2.507249517  8.003202e-03
## [1402,]  3.457853e-01 -0.833175592  5.850862e-03
## [1403,]  1.221119e-01  0.258706582  6.860623e-04
## [1404,] -6.184133e-02  0.818085587  2.847254e-03
## [1405,] -3.111919e-02  0.822792776  3.221331e-03
## [1406,]  1.231963e-01  0.454728850  3.576150e-03
## [1407,] -1.176088e+01 -0.755362341  1.353533e-01
## [1408,]  1.263959e-01  0.438897964  3.582270e-03
## [1409,]  2.375396e-01 -0.604958117 -8.715106e-03
## [1410,]  1.434959e-02  0.829759416  3.774965e-03
## [1411,]  1.062731e-01  0.599026508  4.090893e-03
## [1412,]  6.899906e-02  0.887096113  4.561799e-03
## [1413,] -1.580339e-01 -0.175968190 -4.622153e-02
## [1414,]  5.412462e-01 -2.125239129  5.310808e-03
## [1415,]  1.559855e-01  0.263899024  3.407956e-03
## [1416,]  8.763326e-02  0.645133749  3.782534e-03
## [1417,]  1.534135e-01  0.361432605  4.417635e-03
## [1418,]  7.818440e-01 -3.704168843  3.139458e-03
plot(layoff_pca)

In addition to the correlation matrix and the summary of principal components (PCs), the scree plot also supports the decision to retain two principal components (PCs) in the analysis.

#get the original value of the data based on PCA
center <- layoff_pca$center
scale <- layoff_pca$scale
new_layoff <- as.matrix(layoff[,7:10][,-1])
new_layoff
##           Percentage Company_Size_before_Layoffs Company_Size_after_layoffs
##    [1,]  15.00000000                        1333                       1133
##    [2,]  20.00000000                         500                        400
##    [3,]  10.00000000                        3500                       3150
##    [4,]  10.00000000                        1000                        900
##    [5,]  24.00000000                        3750                       2850
##    [6,]  29.00000000                         450                        320
##    [7,]  15.00000000                        1567                       1332
##    [8,]  11.00000000                        2045                       1820
##    [9,]  33.00000000                          45                         30
##   [10,] 100.00000000                         839                          0
##   [11,] 100.00000000                         150                          0
##   [12,]   5.00000000                        2900                       2755
##   [13,]  20.00000000                         200                        160
##   [14,]  17.00000000                        9200                       7700
##   [15,]  36.00000000                         111                         71
##   [16,]   2.00000000                        1500                       1470
##   [17,]   4.00000000                        6625                       6360
##   [18,]  20.00000000                         750                        600
##   [19,]  25.00000000                         512                        384
##   [20,]   1.00000000                       12000                      11880
##   [21,]   4.00000000                        3125                       3000
##   [22,]  10.00000000                        8000                       7200
##   [23,]   8.00000000                         813                        748
##   [24,]   7.00000000                        7143                       6643
##   [25,]  20.00000000                        1250                       1000
##   [26,]  50.00000000                         146                         73
##   [27,]  20.00000000                         600                        480
##   [28,]  20.00000000                         650                        520
##   [29,]  17.00000000                         700                        581
##   [30,] 100.00000000                         500                          0
##   [31,]   9.00000000                        1556                       1416
##   [32,]  28.00000000                          75                         54
##   [33,]  25.00000000                         920                        690
##   [34,]  10.00000000                         350                        315
##   [35,]   3.00000000                       22000                      21340
##   [36,]   3.00000000                        2667                       2587
##   [37,]  14.00000000                        1229                       1057
##   [38,]  28.00000000                         300                        216
##   [39,]  20.00000000                         100                         80
##   [40,]   5.00000000                        2280                       2166
##   [41,]   5.00000000                        1600                       1520
##   [42,]  14.00000000                         207                        178
##   [43,]  25.00000000                         800                        600
##   [44,]  14.00000000                        5571                       4791
##   [45,]  30.00000000                         833                        583
##   [46,]  15.00000000                        1000                        850
##   [47,]  40.00000000                         215                        129
##   [48,]  37.00000000                          70                         44
##   [49,]  12.00000000                         233                        205
##   [50,]  16.00000000                        5438                       4568
##   [51,]  10.00000000                         300                        270
##   [52,]  30.00000000                         500                        350
##   [53,]  33.00000000                         397                        266
##   [54,]   7.00000000                        1071                        996
##   [55,]   7.00000000                         429                        399
##   [56,]  27.00000000                         878                        641
##   [57,]  10.00000000                         400                        360
##   [58,]  20.00000000                         875                        700
##   [59,]   3.00000000                        2900                       2813
##   [60,]  20.00000000                         200                        160
##   [61,]   9.00000000                         300                        273
##   [62,]  10.00000000                        1000                        900
##   [63,]  40.00000000                          85                         51
##   [64,]  25.00000000                         400                        300
##   [65,]  10.00000000                        3600                       3240
##   [66,]  15.00000000                         200                        170
##   [67,]  20.00000000                         120                         96
##   [68,]  14.00000000                         121                        104
##   [69,]  35.00000000                         171                        111
##   [70,]  20.00000000                         250                        200
##   [71,]  10.00000000                         450                        405
##   [72,]  35.00000000                         106                         69
##   [73,]  20.00000000                         250                        200
##   [74,]   7.00000000                       10000                       9300
##   [75,]   3.00000000                         267                        259
##   [76,]  30.00000000                         500                        350
##   [77,]  21.00000000                         481                        380
##   [78,]   5.00000000                        1900                       1805
##   [79,]  11.00000000                       22727                      20227
##   [80,]  33.00000000                         858                        575
##   [81,]   9.00000000                        1656                       1507
##   [82,]  35.00000000                         171                        111
##   [83,]  15.00000000                        2000                       1700
##   [84,]  19.00000000                         789                        639
##   [85,] 100.00000000                          70                          0
##   [86,]   5.00000000                       11580                      11001
##   [87,]  18.00000000                        2611                       2141
##   [88,]  10.00000000                        1000                        900
##   [89,]  11.00000000                         645                        574
##   [90,]   7.00000000                         600                        558
##   [91,]   4.00000000                         925                        888
##   [92,]   5.00000000                        6000                       5700
##   [93,]  10.00000000                        3000                       2700
##   [94,]  16.00000000                         625                        525
##   [95,]  18.00000000                         389                        319
##   [96,]   8.00000000                         725                        667
##   [97,]  75.00000000                         200                         50
##   [98,]  10.00000000                        1170                       1053
##   [99,]   4.00000000                        2650                       2544
##  [100,]  30.00000000                         133                         93
##  [101,]   9.00000000                         144                        131
##  [102,]  30.00000000                         667                        467
##  [103,]  31.00000000                         645                        445
##  [104,]  67.00000000                         597                        197
##  [105,]  34.00000000                         750                        495
##  [106,]  28.00000000                         218                        157
##  [107,]   6.00000000                        1000                        940
##  [108,]  25.00000000                        1400                       1050
##  [109,]  20.00000000                         450                        360
##  [110,]  10.00000000                         600                        540
##  [111,]  15.00000000                         307                        261
##  [112,]  24.00000000                         279                        212
##  [113,]   6.00000000                         833                        783
##  [114,]  32.00000000                          88                         60
##  [115,]  25.00000000                         300                        225
##  [116,]   2.00000000                         700                        686
##  [117,]   6.00000000                        1333                       1253
##  [118,]   7.00000000                         429                        399
##  [119,] 100.00000000                          50                          0
##  [120,]  13.00000000                         385                        335
##  [121,]  12.00000000                        2500                       2200
##  [122,]  30.00000000                         567                        397
##  [123,]  15.00000000                         667                        567
##  [124,] 100.00000000                           4                          0
##  [125,]  15.00000000                        6667                       5667
##  [126,]  15.00000000                         893                        759
##  [127,]  10.00000000                         200                        180
##  [128,]  10.00000000                         240                        216
##  [129,]  20.00000000                        1500                       1200
##  [130,]  15.00000000                        1207                       1026
##  [131,]  15.00000000                         233                        198
##  [132,]  30.00000000                          93                         65
##  [133,]  10.00000000                         900                        810
##  [134,]  20.00000000                         185                        148
##  [135,]  10.00000000                        2550                       2295
##  [136,]   7.00000000                        2143                       1993
##  [137,]   5.00000000                         600                        570
##  [138,]   0.99616477                       20077                      19877
##  [139,]  40.00000000                          95                         57
##  [140,]  11.00000000                        9091                       8091
##  [141,]  20.00000000                         240                        192
##  [142,]  80.00000000                         213                         43
##  [143,]  13.00000000                         346                        301
##  [144,]  33.00000000                         303                        203
##  [145,]  90.00000000                          43                          4
##  [146,] 100.00000000                         900                          0
##  [147,]   7.00000000                        1857                       1727
##  [148,]  24.00000000                         425                        323
##  [149,]  11.00000000                         736                        655
##  [150,]  15.00000000                        2667                       2267
##  [151,]  17.00000000                         882                        732
##  [152,]  12.00000000                         833                        733
##  [153,]   4.00000000                        2000                       1920
##  [154,]  40.00000000                         200                        120
##  [155,]  35.00000000                         366                        238
##  [156,]   9.00000000                         833                        758
##  [157,]  10.00000000                         600                        540
##  [158,]  12.00000000                        1292                       1137
##  [159,]  15.00000000                         933                        793
##  [160,]  12.00000000                        1117                        983
##  [161,]   5.00000000                        1800                       1710
##  [162,]  27.00000000                         222                        162
##  [163,]   9.00000000                         556                        506
##  [164,]   2.00000000                        9400                       9200
##  [165,]   3.00000000                        4000                       3880
##  [166,]  10.00000000                         900                        810
##  [167,]   8.00000000                        4000                       3680
##  [168,]  20.00000000                        1350                       1080
##  [169,]  25.00000000                         400                        300
##  [170,]  30.00000000                         133                         93
##  [171,]   8.00000000                         275                        253
##  [172,]  20.00000000                         600                        480
##  [173,]  14.00000000                        1171                       1007
##  [174,]  10.00000000                        1300                       1170
##  [175,]  30.00000000                         250                        175
##  [176,]  12.00000000                        1433                       1261
##  [177,]  16.00000000                         625                        525
##  [178,]   7.00000000                         857                        797
##  [179,]  14.00000000                         450                        387
##  [180,]  10.00000000                         400                        360
##  [181,]  26.00000000                        1615                       1195
##  [182,]   3.00000000                        1500                       1455
##  [183,]  30.00000000                        1133                        793
##  [184,]  35.00000000                         457                        297
##  [185,]  11.00000000                        2273                       2023
##  [186,]  23.00000000                         304                        234
##  [187,]   6.00000000                        1000                        940
##  [188,]  10.00000000                         580                        522
##  [189,]   3.00000000                        9667                       9377
##  [190,]  14.00000000                         714                        614
##  [191,]   6.00000000                        1333                       1253
##  [192,]   4.00000000                       17900                      17184
##  [193,]  25.00000000                        1080                        810
##  [194,]  15.00000000                        1673                       1422
##  [195,]  20.00000000                       11500                       9200
##  [196,]  15.00000000                        7333                       6233
##  [197,]  33.00000000                          91                         61
##  [198,]  10.00000000                         300                        270
##  [199,]  28.00000000                          71                         51
##  [200,]   8.00000000                        7500                       6900
##  [201,]  15.00000000                         913                        776
##  [202,]  10.00000000                         700                        630
##  [203,]  33.00000000                         212                        142
##  [204,]  13.00000000                         169                        147
##  [205,]  13.00000000                         385                        335
##  [206,]   8.00000000                         338                        311
##  [207,]  30.00000000                        1087                        761
##  [208,]   4.00000000                        1775                       1704
##  [209,]  16.00000000                        3125                       2625
##  [210,]  11.00000000                        2909                       2589
##  [211,]  11.00000000                        1091                        971
##  [212,]  12.00000000                         833                        733
##  [213,]  16.00000000                         313                        263
##  [214,]  20.00000000                         225                        180
##  [215,]  14.00000000                         307                        264
##  [216,]  29.00000000                         100                         71
##  [217,]  33.00000000                          91                         61
##  [218,]  50.00000000                         230                        115
##  [219,]  30.00000000                         233                        163
##  [220,]  40.00000000                       20000                      12000
##  [221,]  13.00000000                         308                        268
##  [222,]  26.00000000                        4123                       3051
##  [223,]   9.00000000                         822                        748
##  [224,]  15.00000000                        1200                       1020
##  [225,]  30.00000000                         260                        182
##  [226,]  12.00000000                         292                        257
##  [227,]  10.00000000                        1120                       1008
##  [228,]  22.00000000                        2545                       1985
##  [229,]   9.00000000                        1000                        910
##  [230,]   9.00000000                         178                        162
##  [231,]  15.00000000                         540                        459
##  [232,]   3.00000000                        2700                       2619
##  [233,]  25.00000000                          68                         51
##  [234,]  20.00000000                         375                        300
##  [235,]  17.00000000                         100                         83
##  [236,]  40.00000000                         250                        150
##  [237,]   4.00000000                        7500                       7200
##  [238,] 100.00000000                         400                          0
##  [239,]   4.00000000                        5025                       4824
##  [240,]  40.00000000                         200                        120
##  [241,]  25.00000000                         180                        135
##  [242,]   8.00000000                         563                        518
##  [243,]  37.00000000                          27                         17
##  [244,]  25.00000000                         600                        450
##  [245,]  92.00000000                         185                         15
##  [246,]  20.00000000                         500                        400
##  [247,]  30.00000000                        1000                        700
##  [248,]  13.00000000                         762                        663
##  [249,]  18.00000000                         478                        392
##  [250,]  20.00000000                          75                         60
##  [251,]  23.00000000                         739                        569
##  [252,]  11.00000000                         436                        388
##  [253,]  12.00000000                         125                        110
##  [254,]  45.00000000                         198                        109
##  [255,]   6.00000000                        3333                       3133
##  [256,]  75.00000000                         133                         33
##  [257,]  25.00000000                          76                         57
##  [258,]  15.00000000                         113                         96
##  [259,]   6.00000000                       13000                      12220
##  [260,]  28.00000000                          82                         59
##  [261,]  18.00000000                        7222                       5922
##  [262,]  33.00000000                         139                         93
##  [263,]  25.00000000                          40                         30
##  [264,]  15.00000000                       14667                      12467
##  [265,]  15.00000000                         933                        793
##  [266,]  16.00000000                         250                        210
##  [267,]  10.00000000                        1300                       1170
##  [268,]  10.00000000                         800                        720
##  [269,]   4.00000000                         375                        360
##  [270,]   2.29591837                      392000                     383000
##  [271,]   2.00000000                        5000                       4900
##  [272,]  25.00000000                         200                        150
##  [273,]   2.00000000                        5700                       5586
##  [274,]  15.00000000                         280                        238
##  [275,]  21.00000000                         190                        150
##  [276,]  30.00000000                         187                        131
##  [277,]  25.00000000                         128                         96
##  [278,]  30.00000000                          83                         58
##  [279,]  13.58411703                       73615                      63615
##  [280,]  10.00000000                        1000                        900
##  [281,]  20.00000000                         375                        300
##  [282,]  14.00000000                         357                        307
##  [283,]  30.00000000                          50                         35
##  [284,]  15.00000000                        5333                       4533
##  [285,]   2.00000000                        5000                       4900
##  [286,]  15.00000000                         280                        238
##  [287,]  15.00000000                        2000                       1700
##  [288,]  15.00000000                         533                        453
##  [289,]   5.00000000                       10000                       9500
##  [290,]   8.00000000                        5938                       5463
##  [291,]  15.00000000                        2267                       1927
##  [292,]  70.00000000                         329                         99
##  [293,]   3.00000000                        5900                       5723
##  [294,]  11.00000000                         273                        243
##  [295,]  10.00000000                         120                        108
##  [296,]   4.00000000                       12500                      12000
##  [297,]   6.00000000                        5917                       5562
##  [298,]   8.00000000                        2613                       2404
##  [299,]  20.00000000                        1000                        800
##  [300,]  14.00000000                         714                        614
##  [301,]   8.00000000                        1000                        920
##  [302,]  15.00000000                        1900                       1615
##  [303,]  25.00000000                         520                        390
##  [304,]   2.00000000                        3750                       3675
##  [305,]   7.00000000                        1000                        930
##  [306,]  25.00000000                          76                         57
##  [307,]  10.00000000                        2000                       1800
##  [308,]   8.00000000                      106250                      97750
##  [309,]  32.00000000                         469                        319
##  [310,]  70.00000000                         500                        150
##  [311,]  20.00000000                         500                        400
##  [312,]   4.00000000                        1000                        960
##  [313,]  30.00000000                         667                        467
##  [314,]   5.00000000                         600                        570
##  [315,]  28.00000000                          29                         21
##  [316,]   5.00000000                       48000                      45600
##  [317,]  33.00000000                         303                        203
##  [318,]  10.00000000                        6800                       6120
##  [319,]  20.00000000                        2000                       1600
##  [320,]   7.00000000                        3286                       3056
##  [321,]   3.00000000                        2833                       2748
##  [322,]   6.00000000                        6167                       5797
##  [323,]   8.00000000                        2763                       2542
##  [324,]   9.00000000                        2333                       2123
##  [325,]  11.00000000                        1818                       1618
##  [326,]   4.00000000                        2500                       2400
##  [327,] 100.00000000                          60                          0
##  [328,]  17.00000000                        8824                       7324
##  [329,]  25.00000000                         564                        423
##  [330,]   7.00000000                        1214                       1129
##  [331,]  11.00000000                        3273                       2913
##  [332,]  20.00000000                         500                        400
##  [333,]  72.00000000                          67                         19
##  [334,]  20.00000000                        8000                       6400
##  [335,]  33.00000000                        1967                       1318
##  [336,]   9.00000000                        3889                       3539
##  [337,]  35.00000000                         614                        399
##  [338,]  10.00000000                        1550                       1395
##  [339,]   7.00000000                        1857                       1727
##  [340,]  12.00000000                         550                        484
##  [341,]  11.00000000                         282                        251
##  [342,]   8.00000000                        6625                       6095
##  [343,]  19.00000000                        2632                       2132
##  [344,]   5.00000000                        2520                       2394
##  [345,]   7.00000000                        1143                       1063
##  [346,]   8.00000000                         388                        357
##  [347,]  25.00000000                          96                         72
##  [348,]  15.00000000                        8667                       7367
##  [349,]   4.00000000                       12500                      12000
##  [350,]   9.00000000                        2356                       2144
##  [351,]  10.00000000                        1000                        900
##  [352,] 100.00000000                          83                          0
##  [353,]   9.00000000                         300                        273
##  [354,]   7.00000000                        4286                       3986
##  [355,]  25.00000000                         200                        150
##  [356,]  25.00000000                          80                         60
##  [357,]  15.00000000                         600                        510
##  [358,]  20.00000000                         445                        356
##  [359,]   5.00000000                        6000                       5700
##  [360,]   7.00000000                        1700                       1581
##  [361,]  10.00000000                        1000                        900
##  [362,]   4.00000000                        8125                       7800
##  [363,]   4.00000000                        3500                       3360
##  [364,]  10.00000000                         900                        810
##  [365,]  28.00000000                         200                        144
##  [366,]   5.00000000                         880                        836
##  [367,]   3.00000000                         800                        776
##  [368,]  10.00000000                         170                        153
##  [369,]   7.00000000                       28571                      26571
##  [370,]   3.00000000                       17500                      16975
##  [371,]   7.00000000                        7143                       6643
##  [372,]  20.00000000                        1825                       1460
##  [373,]   4.00000000                        5000                       4800
##  [374,]  17.00000000                         882                        732
##  [375,]  14.00000000                         429                        369
##  [376,]   9.00000000                         211                        192
##  [377,]  50.00000000                        1600                        800
##  [378,]   6.00000000                        4167                       3917
##  [379,]   4.00000000                        3900                       3744
##  [380,]  20.00000000                         700                        560
##  [381,]  13.00000000                         500                        435
##  [382,]   6.00000000                        1667                       1567
##  [383,]  10.00000000                         290                        261
##  [384,]  25.00000000                          84                         63
##  [385,]  17.00000000                         112                         93
##  [386,]   3.00000000                      100000                      97000
##  [387,]   8.00000000                        2763                       2542
##  [388,] 100.00000000                          25                          0
##  [389,]  35.00000000                         943                        613
##  [390,]   7.00000000                        1857                       1727
##  [391,]  15.00000000                         867                        737
##  [392,]   7.00000000                        1143                       1063
##  [393,]  17.00000000                        7647                       6347
##  [394,]  15.00000000                        1633                       1388
##  [395,]  10.00000000                         500                        450
##  [396,]  20.00000000                         200                        160
##  [397,]  28.00000000                          75                         54
##  [398,]   6.00000000                       10000                       9400
##  [399,]   3.00000000                        5000                       4850
##  [400,]  10.00000000                         400                        360
##  [401,]  17.00000000                         176                        146
##  [402,]  15.00000000                         133                        113
##  [403,]   6.00000000                      200000                     188000
##  [404,]  10.00000000                       17500                      15750
##  [405,]   6.00000000                        6333                       5953
##  [406,]   8.00000000                        2500                       2300
##  [407,]   7.00000000                        1857                       1727
##  [408,]  10.00000000                         310                        279
##  [409,]  27.00000000                          81                         59
##  [410,]  35.00000000                         329                        214
##  [411,]   5.00000000                        2000                       1900
##  [412,]   9.00000000                         689                        627
##  [413,]   5.00000000                      200000                     190000
##  [414,]  10.00000000                        4500                       4050
##  [415,]   6.00000000                        5000                       4700
##  [416,]  20.00000000                        1375                       1100
##  [417,]   7.00000000                        2214                       2059
##  [418,]  20.00000000                         700                        560
##  [419,]  14.00000000                         979                        842
##  [420,]  12.00000000                         908                        799
##  [421,]  12.00000000                         833                        733
##  [422,]   7.00000000                        1429                       1329
##  [423,]  24.00000000                         417                        317
##  [424,]   7.00000000                        1000                        930
##  [425,]  31.00000000                         100                         69
##  [426,]   3.00000000                         667                        647
##  [427,]  10.00000000                        3000                       2700
##  [428,]   3.00000000                        9467                       9183
##  [429,] 100.00000000                         206                          0
##  [430,]  15.00000000                         947                        805
##  [431,]  10.00000000                        1100                        990
##  [432,]  65.00000000                          77                         27
##  [433,]  20.00000000                        2500                       2000
##  [434,]  30.00000000                         167                        117
##  [435,]  30.00000000                         333                        233
##  [436,]  43.00000000                          93                         53
##  [437,]  14.00000000                        1607                       1382
##  [438,]  40.00000000                         300                        180
##  [439,]  39.00000000                         285                        174
##  [440,]  28.00000000                         393                        283
##  [441,]  15.00000000                         700                        595
##  [442,]  21.00000000                         495                        391
##  [443,]  30.00000000                         153                        107
##  [444,]  20.00000000                        3200                       2560
##  [445,]   5.00000000                        5400                       5130
##  [446,]  11.00000000                        1118                        995
##  [447,]   6.00000000                        1667                       1567
##  [448,]  20.00000000                        4750                       3800
##  [449,]  28.00000000                        1214                        874
##  [450,]  11.00000000                         909                        809
##  [451,]  10.00000000                        1000                        900
##  [452,]  19.00000000                         400                        324
##  [453,]  75.00000000                          80                         20
##  [454,]   5.00000000                        1100                       1045
##  [455,]  20.00000000                         200                        160
##  [456,]   4.00000000                         625                        600
##  [457,]  57.00000000                         553                        238
##  [458,]  10.00000000                         500                        450
##  [459,]   3.00000000                        1433                       1390
##  [460,]  20.00000000                        1375                       1100
##  [461,]   5.00000000                         800                        760
##  [462,]  50.00000000                         400                        200
##  [463,]  19.00000000                         547                        443
##  [464,]   2.00000000                        2000                       1960
##  [465,]  17.00000000                         176                        146
##  [466,]  25.00000000                         120                         90
##  [467,]   8.00000000                         375                        345
##  [468,]  33.00000000                          91                         61
##  [469,]  15.00000000                         167                        142
##  [470,]   2.00000000                      400000                     392000
##  [471,]  10.00000000                       80000                      72000
##  [472,]  20.00000000                         380                        304
##  [473,]  11.00000000                         682                        607
##  [474,]   5.00000000                         400                        380
##  [475,]  10.00000000                         760                        684
##  [476,]  10.00000000                       48000                      43200
##  [477,]  13.00000000                         715                        622
##  [478,]  25.00000000                        1400                       1050
##  [479,]  24.00000000                         271                        206
##  [480,]  40.00000000                          65                         39
##  [481,]  13.00000000                         138                        120
##  [482,]  25.00000000                         120                         90
##  [483,]  30.00000000                          80                         56
##  [484,]  13.00000000                        1385                       1205
##  [485,]   2.00000000                        4500                       4410
##  [486,]  31.00000000                         258                        178
##  [487,]  20.00000000                         300                        240
##  [488,]  30.00000000                         667                        467
##  [489,]   4.00000000                        1250                       1200
##  [490,]  10.00000000                         400                        360
##  [491,]  14.00000000                        1143                        983
##  [492,]  10.00000000                         950                        855
##  [493,]   9.00000000                         867                        789
##  [494,]  20.00000000                        2000                       1600
##  [495,]  25.00000000                         172                        129
##  [496,]  10.00000000                         200                        180
##  [497,]  16.00000000                         706                        593
##  [498,]  33.00000000                         258                        173
##  [499,]  12.00000000                         517                        455
##  [500,]   2.00000000                        1000                        980
##  [501,]  20.00000000                        1270                       1016
##  [502,]   3.00000000                        8333                       8083
##  [503,]  18.00000000                        1100                        902
##  [504,]  30.00000000                         533                        373
##  [505,]   5.00000000                        1900                       1805
##  [506,]  50.00000000                         160                         80
##  [507,]   5.00000000                        1200                       1140
##  [508,]  15.00000000                         200                        170
##  [509,]   4.00000000                         625                        600
##  [510,]  12.00000000                        2600                       2288
##  [511,]  20.00000000                        1300                       1040
##  [512,]   6.00000000                        3950                       3713
##  [513,]  10.00000000                        1500                       1350
##  [514,]  13.00000000                        1000                        870
##  [515,]  13.00000000                         923                        803
##  [516,]   8.00000000                        1188                       1093
##  [517,]  10.00000000                         400                        360
##  [518,]  30.00000000                         100                         70
##  [519,]  18.00000000                         150                        123
##  [520,]  40.00000000                        1288                        773
##  [521,]  12.00000000                        1500                       1320
##  [522,]  13.00000000                         385                        335
##  [523,]   8.00000000                         400                        368
##  [524,]   8.00000000                         250                        230
##  [525,]  13.00000000                         100                         87
##  [526,]  10.00000000                         650                        585
##  [527,]  18.00000000                         167                        137
##  [528,]  15.00000000                         313                        266
##  [529,]  10.00000000                        1100                        990
##  [530,]  37.00000000                         270                        170
##  [531,]  16.00000000                         300                        252
##  [532,]  23.00000000                         161                        124
##  [533,]   6.00000000                       20833                      19583
##  [534,]  30.00000000                        3667                       2567
##  [535,]  34.00000000                         465                        307
##  [536,]  23.00000000                         583                        449
##  [537,]   7.00000000                        1857                       1727
##  [538,]  13.00000000                         462                        402
##  [539,]   3.00000000                        1767                       1714
##  [540,]   5.00000000                         900                        855
##  [541,]  50.00000000                          60                         30
##  [542,]  25.00000000                         200                        150
##  [543,]  20.00000000                          50                         40
##  [544,]  50.00000000                        1000                        500
##  [545,]  20.00000000                        1500                       1200
##  [546,]   6.00000000                        1500                       1410
##  [547,]   8.00000000                         838                        771
##  [548,]  33.00000000                         100                         67
##  [549,]  10.00000000                         250                        225
##  [550,]   5.00000000                        3000                       2850
##  [551,]  20.00000000                         350                        280
##  [552,]   9.00000000                         300                        273
##  [553,]  38.00000000                         263                        163
##  [554,]  20.00000000                         100                         80
##  [555,]   8.00000000                        2000                       1840
##  [556,]   8.00000000                        1000                        920
##  [557,]  20.00000000                        4500                       3600
##  [558,]  10.00000000                         930                        837
##  [559,]   4.00000000                        2500                       2400
##  [560,]   8.00000000                       18750                      17250
##  [561,]  20.00000000                        1500                       1200
##  [562,]  20.00000000                         525                        420
##  [563,]   7.00000000                        2857                       2657
##  [564,]  33.00000000                         218                        146
##  [565,]  25.00000000                         148                        111
##  [566,]  19.00000000                         179                        145
##  [567,]   4.00000000                         375                        360
##  [568,]   9.00000000                         100                         91
##  [569,]   3.00000000                      333333                     323333
##  [570,]   5.00000000                       82000                      77900
##  [571,]  21.00000000                        1005                        794
##  [572,]  40.00000000                         500                        300
##  [573,]  10.00000000                        1200                       1080
##  [574,]  11.00000000                         818                        728
##  [575,]  23.00000000                         330                        254
##  [576,]   9.00000000                         778                        708
##  [577,]  22.00000000                         268                        209
##  [578,]   6.00000000                        4017                       3776
##  [579,]   9.00000000                        2000                       1820
##  [580,]  17.00000000                        1000                        830
##  [581,] 100.00000000                         120                          0
##  [582,]  16.00000000                         313                        263
##  [583,]  10.00000000                         310                        279
##  [584,]   5.00000000                       10000                       9500
##  [585,]  20.00000000                        1500                       1200
##  [586,]  85.00000000                         200                         30
##  [587,]  15.00000000                         953                        810
##  [588,]  13.00000000                         954                        830
##  [589,]  22.00000000                         268                        209
##  [590,]   8.00000000                         500                        460
##  [591,]  30.00000000                         333                        233
##  [592,]   8.00000000                         750                        690
##  [593,]  12.00000000                       10833                       9533
##  [594,]  30.00000000                        1333                        933
##  [595,]   6.00000000                        1667                       1567
##  [596,]  27.00000000                         241                        176
##  [597,]  10.00000000                         450                        405
##  [598,]  48.00000000                          42                         22
##  [599,]  13.00000000                       84615                      73615
##  [600,]  13.00000000                        6631                       5769
##  [601,]  40.00000000                         750                        450
##  [602,]  22.00000000                         655                        511
##  [603,]  20.00000000                         685                        548
##  [604,]  15.00000000                         867                        737
##  [605,]  10.00000000                         360                        324
##  [606,]   7.00000000                         500                        465
##  [607,]  15.00000000                         167                        142
##  [608,]  50.00000000                         130                         65
##  [609,]   1.00000000                      100000                      99000
##  [610,]  10.00000000                        3500                       3150
##  [611,]   5.00000000                        7000                       6650
##  [612,]  12.00000000                        1583                       1393
##  [613,]   5.00000000                        2200                       2090
##  [614,]  50.00000000                        7400                       3700
##  [615,] 100.00000000                         200                          0
##  [616,]   8.00000000                         875                        805
##  [617,]  22.00000000                         268                        209
##  [618,]  14.00000000                        7143                       6143
##  [619,]  13.00000000                        5385                       4685
##  [620,]  15.00000000                        1000                        850
##  [621,]   2.50000000                        4000                       3900
##  [622,]  20.00000000                         300                        240
##  [623,]  18.00000000                        3056                       2506
##  [624,]  12.00000000                        1300                       1144
##  [625,]  10.00000000                        1420                       1278
##  [626,]  22.00000000                         609                        475
##  [627,]  10.00000000                        1000                        900
##  [628,]  15.00000000                         667                        567
##  [629,]  50.00000000                         100                         50
##  [630,]   7.00000000                        2000                       1860
##  [631,]  33.00000000                         303                        203
##  [632,]  18.00000000                         389                        319
##  [633,]  18.00000000                         389                        319
##  [634,]   6.00000000                        1167                       1097
##  [635,]   5.00000000                        1000                        950
##  [636,]  10.00000000                        3000                       2700
##  [637,]  27.00000000                         111                         81
##  [638,]  20.00000000                         125                        100
##  [639,]   0.04497976                      333483                     333333
##  [640,] 100.00000000                         100                          0
##  [641,]  43.00000000                         488                        278
##  [642,]  17.00000000                         494                        410
##  [643,]  15.00000000                        2667                       2267
##  [644,]   5.00000000                        6000                       5700
##  [645,]  17.00000000                        1176                        976
##  [646,]   6.07017544                        2850                       2677
##  [647,]  42.00000000                         357                        207
##  [648,]  12.00000000                         250                        220
##  [649,]  50.00000000                          34                         17
##  [650,]  20.00000000                        2000                       1600
##  [651,]  14.00000000                        1414                       1216
##  [652,]   4.00000000                        1250                       1200
##  [653,]  16.00000000                         388                        326
##  [654,]  38.00000000                          61                         38
##  [655,]  10.00000000                        1200                       1080
##  [656,]  33.00000000                         130                         87
##  [657,]  30.00000000                         100                         70
##  [658,]  12.00000000                        1892                       1665
##  [659,]  46.00000000                         139                         75
##  [660,]  11.00000000                         209                        186
##  [661,]   1.85185185                       13500                      13250
##  [662,]  30.00000000                         107                         75
##  [663,]  12.00000000                         167                        147
##  [664,]   7.00000000                        1200                       1116
##  [665,]  21.00000000                         267                        211
##  [666,]  21.00000000                         114                         90
##  [667,]  19.00000000                        1053                        853
##  [668,]  19.00000000                        1053                        853
##  [669,] 100.00000000                          65                          0
##  [670,]   5.00000000                       50000                      47500
##  [671,]  10.00000000                        1500                       1350
##  [672,]  75.00000000                         173                         43
##  [673,]  10.00000000                        5000                       4500
##  [674,]  11.00000000                        1236                       1100
##  [675,]  30.00000000                         333                        233
##  [676,]  13.00000000                         423                        368
##  [677,]  35.00000000                         100                         65
##  [678,]  11.00000000                        1636                       1456
##  [679,]  96.00000000                         100                          4
##  [680,]  20.00000000                         335                        268
##  [681,]   4.00000000                        3000                       2880
##  [682,]  30.00000000                        6667                       4667
##  [683,]  12.00000000                        4167                       3667
##  [684,]   6.00000000                         833                        783
##  [685,]  25.00000000                         200                        150
##  [686,]   9.00000000                        2222                       2022
##  [687,]  16.00000000                         406                        341
##  [688,]  13.00000000                         308                        268
##  [689,]  10.00000000                         780                        702
##  [690,]  20.00000000                         200                        160
##  [691,]   9.00000000                        7456                       6785
##  [692,]  12.00000000                         333                        293
##  [693,]  15.00000000                         467                        397
##  [694,]   4.00000000                         650                        624
##  [695,]   5.00000000                         480                        456
##  [696,]  33.00000000                         333                        223
##  [697,] 100.00000000                         100                          0
##  [698,]   6.69135803                        4050                       3779
##  [699,]  16.00000000                         488                        410
##  [700,]   2.00000000                        3750                       3675
##  [701,]  43.00000000                          67                         38
##  [702,]  20.00000000                         950                        760
##  [703,]  10.00000000                         400                        360
##  [704,]  11.00000000                        1755                       1562
##  [705,]  15.00000000                         467                        397
##  [706,]  20.00000000                         175                        140
##  [707,]  11.00000000                        7273                       6473
##  [708,]  30.00000000                         197                        138
##  [709,]   5.00000000                        1000                        950
##  [710,]  75.00000000                         213                         53
##  [711,]   5.00000000                        2000                       1900
##  [712,]   6.00000000                        1667                       1567
##  [713,]  17.00000000                         471                        391
##  [714,]  28.00000000                          39                         28
##  [715,]   8.00000000                         688                        633
##  [716,] 100.00000000                         150                          0
##  [717,]   5.00000000                         980                        931
##  [718,]   5.00000000                         900                        855
##  [719,]   3.00000000                         900                        873
##  [720,]  33.00000000                         121                         81
##  [721,]  33.00000000                          91                         61
##  [722,]   5.00000000                         460                        437
##  [723,]  15.00000000                         667                        567
##  [724,]   8.00000000                        1125                       1035
##  [725,]  15.00000000                         367                        312
##  [726,]  20.00000000                        6400                       5120
##  [727,]  16.00000000                         875                        735
##  [728,]  10.00000000                        1000                        900
##  [729,]  10.00000000                         700                        630
##  [730,]  20.00000000                         150                        120
##  [731,]  10.00000000                         290                        261
##  [732,]  10.00000000                         380                        342
##  [733,]  30.00000000                         317                        222
##  [734,]   7.00000000                         286                        266
##  [735,] 100.00000000                         140                          0
##  [736,]  20.00000000                          75                         60
##  [737,]  16.00000000                        1125                        945
##  [738,]  20.00000000                         690                        552
##  [739,]   8.00000000                         625                        575
##  [740,]   8.00000000                         388                        357
##  [741,]  50.00000000                          58                         29
##  [742,]  26.00000000                         930                        688
##  [743,]  14.00000000                         714                        614
##  [744,]  10.00000000                         550                        495
##  [745,]   3.00000000                         433                        420
##  [746,]   5.00000000                       17400                      16530
##  [747,]   5.00000000                        2200                       2090
##  [748,]  17.00000000                         206                        171
##  [749,]  14.00000000                         893                        768
##  [750,]  14.00000000                         571                        491
##  [751,]   9.00000000                         133                        121
##  [752,]  15.00000000                          33                         28
##  [753,]  13.00000000                        1923                       1673
##  [754,]  12.00000000                        1833                       1613
##  [755,]  37.00000000                          43                         27
##  [756,]  13.00000000                        6031                       5247
##  [757,]  33.00000000                         530                        355
##  [758,]  20.00000000                         450                        360
##  [759,]   8.00000000                         750                        690
##  [760,]   9.00000000                         600                        546
##  [761,]  10.00000000                         470                        423
##  [762,]  12.00000000                         250                        220
##  [763,]  20.00000000                        4000                       3200
##  [764,]  30.00000000                        1333                        933
##  [765,]   4.00000000                        6750                       6480
##  [766,]  25.00000000                         520                        390
##  [767,]   3.00000000                        2000                       1940
##  [768,]  17.00000000                         294                        244
##  [769,]  30.00000000                         160                        112
##  [770,]  15.00000000                        3333                       2833
##  [771,]  15.00000000                        3333                       2833
##  [772,]   5.00000000                         400                        380
##  [773,]  10.00000000                        1400                       1260
##  [774,]  10.00000000                         500                        450
##  [775,]  17.00000000                         182                        151
##  [776,]  13.00000000                        1923                       1673
##  [777,]  17.00000000                        1176                        976
##  [778,]   8.00000000                        1250                       1150
##  [779,]   4.00000000                        2000                       1920
##  [780,]  33.00000000                         221                        148
##  [781,]  12.00000000                         583                        513
##  [782,]  20.00000000                         235                        188
##  [783,]   4.00000000                        1000                        960
##  [784,]  23.00000000                        3100                       2387
##  [785,]  37.00000000                         311                        196
##  [786,]  25.00000000                         320                        240
##  [787,]   5.00000000                        1200                       1140
##  [788,]  20.00000000                         270                        216
##  [789,]  10.00000000                         300                        270
##  [790,]  30.00000000                          77                         54
##  [791,]   8.00000000                         238                        219
##  [792,]  50.00000000                         116                         58
##  [793,] 100.00000000                          75                          0
##  [794,]  32.00000000                          50                         34
##  [795,]  25.00000000                         500                        375
##  [796,]   6.00000000                         667                        627
##  [797,]  33.00000000                         182                        122
##  [798,]  20.00000000                         300                        240
##  [799,]   6.00000000                       14000                      13160
##  [800,]   2.00000000                        1950                       1911
##  [801,]  24.00000000                         125                         95
##  [802,]   4.00000000                         750                        720
##  [803,]  10.00000000                       10000                       9000
##  [804,]   8.00000000                         750                        690
##  [805,]  17.00000000                         235                        195
##  [806,]   3.00000000                        1267                       1229
##  [807,]  30.00000000                          77                         54
##  [808,]   6.00000000                         333                        313
##  [809,]   9.00000000                         278                        253
##  [810,] 100.00000000                         120                          0
##  [811,]  20.00000000                         250                        200
##  [812,]  22.00000000                         127                         99
##  [813,]   5.00000000                         300                        285
##  [814,]  25.00000000                         600                        450
##  [815,]  15.00000000                         633                        538
##  [816,]  10.00000000                         630                        567
##  [817,]  33.00000000                         182                        122
##  [818,]   5.00000000                         220                        209
##  [819,]  20.00000000                        1000                        800
##  [820,]   2.00000000                        3000                       2940
##  [821,]  16.00000000                         356                        299
##  [822,]  20.00000000                         150                        120
##  [823,]   9.00000000                         167                        152
##  [824,]  31.00000000                        1452                       1002
##  [825,]   7.00000000                         971                        903
##  [826,]  10.00000000                         300                        270
##  [827,]  50.00000000                         200                        100
##  [828,]   5.00000000                        1260                       1197
##  [829,]  20.00000000                         120                         96
##  [830,]  17.00000000                         500                        415
##  [831,]  15.00000000                         360                        306
##  [832,]  25.00000000                         168                        126
##  [833,]   7.00000000                         557                        518
##  [834,]  15.00000000                        2000                       1700
##  [835,]  35.00000000                         749                        487
##  [836,]  40.00000000                         300                        180
##  [837,]  30.00000000                         333                        233
##  [838,]  20.00000000                         500                        400
##  [839,]  18.00000000                         389                        319
##  [840,]  30.00000000                        2080                       1600
##  [841,]  10.00000000                       15000                      13500
##  [842,]  12.00000000                         375                        330
##  [843,]  29.00000000                         834                        592
##  [844,]  13.00000000                         185                        161
##  [845,] 100.00000000                        1000                          0
##  [846,]  24.00000000                         650                        494
##  [847,]   5.00000000                        3000                       2850
##  [848,]  17.00000000                         882                        732
##  [849,]  18.00000000                         167                        137
##  [850,]   9.00000000                        1111                       1011
##  [851,]  27.00000000                         130                         95
##  [852,]  18.00000000                         167                        137
##  [853,]  20.00000000                          75                         60
##  [854,]  12.00000000                        3200                       2816
##  [855,]  30.00000000                         400                        280
##  [856,]   6.00000000                        1667                       1567
##  [857,]  10.00000000                         800                        720
##  [858,]  18.00000000                         172                        141
##  [859,]   8.00000000                         375                        345
##  [860,]   7.00000000                         386                        359
##  [861,]  33.00000000                          61                         41
##  [862,]   8.00000000                         163                        150
##  [863,]  12.00000000                         667                        587
##  [864,]  12.00000000                         225                        198
##  [865,]  15.00000000                         120                        102
##  [866,]  25.00000000                         600                        450
##  [867,] 100.00000000                          85                          0
##  [868,]   6.00000000                         967                        909
##  [869,]   6.00000000                         250                        235
##  [870,]  18.00000000                        2222                       1822
##  [871,] 100.00000000                         170                          0
##  [872,]   8.00000000                         500                        460
##  [873,]  20.00000000                         150                        120
##  [874,]  12.00000000                         167                        147
##  [875,]  10.00000000                         140                        126
##  [876,]   5.00000000                         240                        228
##  [877,]   4.00000000                        5000                       4800
##  [878,]   8.00000000                        1063                        978
##  [879,]  19.00000000                         421                        341
##  [880,]  22.00000000                         345                        269
##  [881,]  20.00000000                         200                        160
##  [882,]  30.00000000                          60                         42
##  [883,]  25.00000000                          64                         48
##  [884,]  14.00000000                          93                         80
##  [885,]  30.00000000                        1000                        700
##  [886,]   8.00000000                        1500                       1380
##  [887,]  40.00000000                         275                        165
##  [888,]  10.00000000                         500                        450
##  [889,]   8.00000000                         375                        345
##  [890,]  50.00000000                          36                         18
##  [891,]  12.00000000                        2500                       2200
##  [892,]   5.00000000                        4200                       3990
##  [893,]   4.00000000                        4500                       4320
##  [894,]  30.00000000                         233                        163
##  [895,]  25.00000000                         108                         81
##  [896,]  27.00000000                        1000                        730
##  [897,]  23.00000000                         391                        301
##  [898,]  14.00000000                         293                        252
##  [899,]  12.00000000                         333                        293
##  [900,]   3.00000000                       10000                       9700
##  [901,]   9.00000000                         778                        708
##  [902,]  13.00000000                         169                        147
##  [903,]   7.00000000                         214                        199
##  [904,]  13.00000000                          62                         54
##  [905,]  20.00000000                         600                        480
##  [906,]  35.00000000                         257                        167
##  [907,]  17.00000000                         324                        269
##  [908,]   7.00000000                         500                        465
##  [909,]  10.00000000                         350                        315
##  [910,]  16.00000000                         144                        121
##  [911,]  20.00000000                        1700                       1360
##  [912,]  30.00000000                         133                         93
##  [913,]   8.00000000                         300                        276
##  [914,] 100.00000000                         101                          0
##  [915,]  12.00000000                         833                        733
##  [916,]  30.00000000                         267                        187
##  [917,]  55.00000000                          55                         25
##  [918,]  15.00000000                         200                        170
##  [919,]  30.00000000                         637                        446
##  [920,]   5.00000000                         180                        171
##  [921,]   3.00000000                        5000                       4850
##  [922,]  13.00000000                         531                        462
##  [923,]  20.00000000                          80                         64
##  [924,]   5.00000000                        1000                        950
##  [925,]  15.00000000                         300                        255
##  [926,]  17.00000000                        1471                       1221
##  [927,]  13.00000000                        1223                       1064
##  [928,]  10.00000000                        1500                       1350
##  [929,]  25.00000000                         440                        330
##  [930,]  23.00000000                         100                         77
##  [931,]   5.00000000                         280                        266
##  [932,]  30.00000000                          33                         23
##  [933,]  18.00000000                        6111                       5011
##  [934,]   8.00000000                        5875                       5405
##  [935,]  10.00000000                        4500                       4050
##  [936,]  15.00000000                         500                        425
##  [937,]  33.00000000                         152                        102
##  [938,]  10.00000000                         240                        216
##  [939,]  20.00000000                        1250                       1000
##  [940,]  33.00000000                         170                        114
##  [941,]  40.00000000                          83                         50
##  [942,]   5.00000000                        5200                       4940
##  [943,]  30.00000000                         833                        583
##  [944,]  10.00000000                        1000                        900
##  [945,]  20.00000000                         300                        240
##  [946,]  15.00000000                         300                        255
##  [947,]   8.00000000                         250                        230
##  [948,]  25.00000000                        3800                       2850
##  [949,]  15.00000000                        2200                       1870
##  [950,]   7.00000000                        1286                       1196
##  [951,]  40.00000000                         200                        120
##  [952,]   5.00000000                        1400                       1330
##  [953,] 100.00000000                          40                          0
##  [954,]  14.00000000                         221                        190
##  [955,]   5.00000000                         520                        494
##  [956,]  21.00000000                        1190                        940
##  [957,]  15.00000000                        1000                        850
##  [958,]  20.00000000                         250                        200
##  [959,]  15.00000000                        5000                       4250
##  [960,]  15.00000000                        5000                       4250
##  [961,]  15.00000000                        1200                       1020
##  [962,]  23.00000000                         600                        462
##  [963,]   7.00000000                         714                        664
##  [964,]  22.00000000                         105                         82
##  [965,]  15.00000000                         140                        119
##  [966,]   8.00000000                        3125                       2875
##  [967,]  25.00000000                         680                        510
##  [968,]  50.00000000                         280                        140
##  [969,]  10.00000000                        1000                        900
##  [970,]   8.00000000                         738                        679
##  [971,]  33.00000000                          91                         61
##  [972,]  25.00000000                         100                         75
##  [973,]   6.00000000                        1667                       1567
##  [974,] 100.00000000                         100                          0
##  [975,]  12.00000000                         750                        660
##  [976,]  10.00000000                         650                        585
##  [977,]  14.00000000                         243                        209
##  [978,]  35.00000000                          86                         56
##  [979,]  33.00000000                         133                         89
##  [980,]  25.00000000                          48                         36
##  [981,]  32.00000000                        1250                        850
##  [982,]  10.00000000                        1000                        900
##  [983,]   3.00000000                        3333                       3233
##  [984,]  30.00000000                         483                        338
##  [985,]  26.00000000                         112                         83
##  [986,]  13.00000000                        1538                       1338
##  [987,]  11.00000000                         727                        647
##  [988,]  20.00000000                        1500                       1200
##  [989,]  27.00000000                         889                        649
##  [990,]  25.00000000                         200                        150
##  [991,]  20.00000000                         225                        180
##  [992,]  20.00000000                         150                        120
##  [993,]  50.00000000                         600                        300
##  [994,]  10.00000000                        7000                       6300
##  [995,]  45.00000000                         178                         98
##  [996,] 100.00000000                          65                          0
##  [997,]   7.00000000                         857                        797
##  [998,]  20.00000000                         150                        120
##  [999,]  75.00000000                         800                        200
## [1000,]  28.00000000                         464                        334
## [1001,]  15.00000000                         580                        493
## [1002,]  10.00000000                         700                        630
## [1003,]   6.00000000                       10000                       9400
## [1004,]   7.00000000                        6057                       5633
## [1005,]   1.00000000                       15000                      14850
## [1006,]  10.00000000                        1000                        900
## [1007,]   8.00000000                        1125                       1035
## [1008,]  40.00000000                         250                        150
## [1009,]  40.00000000                        1000                        600
## [1010,]   7.00000000                        1000                        930
## [1011,]  12.00000000                       20833                      18333
## [1012,]  15.00000000                        2067                       1757
## [1013,]  33.00000000                         606                        406
## [1014,]   6.00000000                         500                        470
## [1015,]  50.00000000                         700                        350
## [1016,]  14.00000000                        1929                       1659
## [1017,]   5.00000000                       15000                      14250
## [1018,]   3.00000000                        6667                       6467
## [1019,]  10.00000000                         900                        810
## [1020,]  25.00000000                         288                        216
## [1021,] 100.00000000                         300                          0
## [1022,]  25.00000000                         348                        261
## [1023,]  30.00000000                         150                        105
## [1024,]  67.00000000                         746                        246
## [1025,]  19.00000000                         789                        639
## [1026,]   9.00000000                        3778                       3438
## [1027,]  34.00000000                          85                         56
## [1028,]   9.00000000                        2000                       1820
## [1029,]  30.00000000                         867                        607
## [1030,]  10.00000000                        2000                       1800
## [1031,]   4.00000000                        4000                       3840
## [1032,] 100.00000000                          44                          0
## [1033,]  14.00000000                         714                        614
## [1034,]  10.00000000                         200                        180
## [1035,]  17.00000000                        5882                       4882
## [1036,]  38.00000000                          61                         38
## [1037,]  40.00000000                         148                         89
## [1038,]   3.00000000                       15000                      14550
## [1039,]  20.00000000                         500                        400
## [1040,]  10.00000000                        1000                        900
## [1041,]  50.00000000                         600                        300
## [1042,]  46.00000000                         250                        135
## [1043,]  33.00000000                        9091                       6091
## [1044,]  12.00000000                         833                        733
## [1045,]  25.00000000                         400                        300
## [1046,]  15.00000000                        1267                       1077
## [1047,]  50.00000000                         222                        111
## [1048,]  15.00000000                         667                        567
## [1049,]  29.00000000                         410                        291
## [1050,]  12.00000000                        1150                       1012
## [1051,]  20.00000000                         300                        240
## [1052,]  20.00000000                       14000                      11200
## [1053,]  20.00000000                         285                        228
## [1054,]   0.66225166                       15100                      15000
## [1055,]  33.00000000                         242                        162
## [1056,]   6.97674419                        4300                       4000
## [1057,]   9.00000000                       10000                       9100
## [1058,]  27.00000000                         259                        189
## [1059,]  25.00000000                        8000                       6000
## [1060,]  90.00000000                          46                          5
## [1061,]  50.00000000                          74                         37
## [1062,] 100.00000000                        2434                          0
## [1063,]   7.00000000                        2286                       2126
## [1064,]  40.00000000                         500                        300
## [1065,]  20.00000000                         435                        348
## [1066,] 100.00000000                          45                          0
## [1067,]  15.00000000                        1200                       1020
## [1068,] 100.00000000                          21                          0
## [1069,]  15.00000000                        2100                       1785
## [1070,]  80.00000000                         150                         30
## [1071,]  25.00000000                          20                         15
## [1072,] 100.00000000                         154                          0
## [1073,]  50.00000000                          60                         30
## [1074,]   8.00000000                         250                        230
## [1075,]  17.00000000                         529                        439
## [1076,]   6.00000000                         783                        736
## [1077,]  95.00000000                         253                         13
## [1078,]   5.00000000                         600                        570
## [1079,]  11.00000000                         200                        178
## [1080,]  10.00000000                        3500                       3150
## [1081,]   2.00000000                       50000                      49000
## [1082,]  80.00000000                          10                          2
## [1083,]  25.00000000                        1000                        750
## [1084,] 100.00000000                          20                          0
## [1085,]  38.00000000                         395                        245
## [1086,]  50.00000000                         150                         75
## [1087,] 100.00000000                          87                          0
## [1088,]   9.00000000                        2000                       1820
## [1089,]   5.00000000                        7000                       6650
## [1090,]  72.00000000                         104                         29
## [1091,]  12.00000000                         533                        469
## [1092,]   6.00000000                       16000                      15040
## [1093,]  49.00000000                          45                         23
## [1094,]  15.00000000                         400                        340
## [1095,]  20.00000000                        1500                       1200
## [1096,]  12.00000000                         833                        733
## [1097,]   5.00000000                         340                        323
## [1098,]   7.00000000                        5714                       5314
## [1099,]  22.00000000                         591                        461
## [1100,]  12.00000000                        1450                       1276
## [1101,]   9.00000000                        4778                       4348
## [1102,]  90.00000000                         100                         10
## [1103,] 100.00000000                           6                          0
## [1104,]   7.00000000                       10214                       9499
## [1105,]  25.00000000                         160                        120
## [1106,]  50.00000000                        3000                       1500
## [1107,]   5.00000000                        7200                       6840
## [1108,]   1.00000000                        7000                       6930
## [1109,]  25.00000000                         176                        132
## [1110,]  25.00000000                         900                        675
## [1111,]  48.00000000                         131                         68
## [1112,]  27.00000000                          11                          8
## [1113,]   8.00000000                         575                        529
## [1114,]  14.00000000                         129                        111
## [1115,]  40.00000000                         125                         75
## [1116,]  14.00000000                         279                        240
## [1117,]   8.00000000                        1500                       1380
## [1118,]  21.00000000                         190                        150
## [1119,]  14.00000000                         157                        135
## [1120,]   2.00000000                        2000                       1960
## [1121,]  15.00000000                          93                         79
## [1122,]  16.00000000                          75                         63
## [1123,]  18.00000000                        7778                       6378
## [1124,]  10.00000000                        3500                       3150
## [1125,]  22.00000000                         109                         85
## [1126,]  15.00000000                         413                        351
## [1127,]  60.00000000                          53                         21
## [1128,]  18.00000000                        1500                       1230
## [1129,]  30.00000000                         730                        511
## [1130,]   8.00000000                         450                        414
## [1131,]  25.00000000                          80                         60
## [1132,]  12.00000000                        1250                       1100
## [1133,]   8.00000000                         775                        713
## [1134,]  23.00000000                        2609                       2009
## [1135,] 100.00000000                         137                          0
## [1136,]  10.00000000                        4000                       3600
## [1137,]  35.00000000                         200                        130
## [1138,]  36.00000000                          50                         32
## [1139,]  35.00000000                        4000                       2600
## [1140,]  18.00000000                        1667                       1367
## [1141,] 100.00000000                         221                          0
## [1142,]   7.00000000                        1600                       1488
## [1143,]  25.00000000                         404                        303
## [1144,]   6.00000000                         650                        611
## [1145,]  15.00000000                        3000                       2550
## [1146,]  31.00000000                         223                        154
## [1147,]  13.00000000                       23077                      20077
## [1148,]  14.00000000                        7857                       6757
## [1149,]  20.00000000                         500                        400
## [1150,]  13.00000000                        4000                       3480
## [1151,]  50.00000000                        1000                        500
## [1152,]  10.00000000                         160                        144
## [1153,]   8.00000000                        1875                       1725
## [1154,]  10.00000000                         700                        630
## [1155,]  15.00000000                         233                        198
## [1156,] 100.00000000                         669                          0
## [1157,]  40.00000000                         128                         77
## [1158,]  18.00000000                         139                        114
## [1159,]  50.00000000                         146                         73
## [1160,]  19.00000000                         342                        277
## [1161,]  17.00000000                         212                        176
## [1162,]   3.00000000                         533                        517
## [1163,]   3.00000000                        2000                       1940
## [1164,]  25.00000000                         112                         84
## [1165,]   1.00000000                         900                        891
## [1166,] 100.00000000                         500                          0
## [1167,]  30.00000000                        1000                        700
## [1168,]  50.00000000                         124                         62
## [1169,]  12.00000000                         500                        440
## [1170,]  23.00000000                         122                         94
## [1171,]  14.00000000                       26429                      22729
## [1172,]   8.00000000                         625                        575
## [1173,]  10.00000000                         500                        450
## [1174,]  25.00000000                        7600                       5700
## [1175,]  30.00000000                        3000                       2100
## [1176,]  10.00000000                        1350                       1215
## [1177,]  15.00000000                         267                        227
## [1178,]  10.00000000                         250                        225
## [1179,]  16.00000000                        5000                       4200
## [1180,]  31.00000000                        1729                       1193
## [1181,]  20.00000000                        2000                       1600
## [1182,]  21.00000000                         300                        237
## [1183,]  15.00000000                         413                        351
## [1184,]  30.00000000                         200                        140
## [1185,]   8.00000000                         138                        127
## [1186,]  10.00000000                        1200                       1080
## [1187,]  40.00000000                         275                        165
## [1188,]  32.00000000                         297                        202
## [1189,]  80.00000000                         100                         20
## [1190,]  20.00000000                         130                        104
## [1191,]  17.00000000                        5776                       4794
## [1192,]   8.00000000                        2000                       1840
## [1193,]  13.00000000                         615                        535
## [1194,]  10.00000000                         240                        216
## [1195,]  25.00000000                        3600                       2700
## [1196,]  15.00000000                        2447                       2080
## [1197,]  18.00000000                         444                        364
## [1198,]  15.00000000                         233                        198
## [1199,]  25.00000000                         108                         81
## [1200,]  50.00000000                          40                         20
## [1201,]  10.00000000                        2600                       2340
## [1202,]  20.00000000                         100                         80
## [1203,]  20.00000000                         150                        120
## [1204,]  36.00000000                         158                        101
## [1205,]  23.00000000                         157                        121
## [1206,]  30.00000000                          63                         44
## [1207,]  22.00000000                          82                         64
## [1208,]  25.00000000                          60                         45
## [1209,]  33.00000000                          30                         20
## [1210,]  21.00000000                          29                         23
## [1211,] 100.00000000                           4                          0
## [1212,]  12.00000000                         833                        733
## [1213,]  15.00000000                         580                        493
## [1214,]   9.00000000                         889                        809
## [1215,]   5.00000000                        1400                       1330
## [1216,]  50.00000000                        2000                       1000
## [1217,]  35.00000000                         157                        102
## [1218,]  14.00000000                          71                         61
## [1219,]   9.24107659                        8657                       7857
## [1220,]  30.00000000                        1533                       1073
## [1221,]  10.00000000                        1550                       1395
## [1222,]  21.00000000                         371                        293
## [1223,]  13.00000000                         308                        268
## [1224,]   9.00000000                         422                        384
## [1225,]  13.00000000                         231                        201
## [1226,]  10.00000000                         100                         90
## [1227,]  15.00000000                        2000                       1700
## [1228,]  14.00000000                         650                        559
## [1229,]  25.00000000                         360                        270
## [1230,]  30.00000000                         300                        210
## [1231,]  25.00000000                         132                         99
## [1232,]   9.00000000                         256                        233
## [1233,]   3.00000000                         333                        323
## [1234,]  35.00000000                         400                        260
## [1235,]  28.00000000                         429                        309
## [1236,]   8.00000000                        1100                       1012
## [1237,]  10.00000000                         470                        423
## [1238,]   5.00000000                         880                        836
## [1239,]  10.00000000                         350                        315
## [1240,]  18.00000000                         167                        137
## [1241,]  37.00000000                          35                         22
## [1242,]  13.00000000                        1000                        870
## [1243,]  18.00000000                         361                        296
## [1244,]  20.00000000                         300                        240
## [1245,]  35.00000000                        1714                       1114
## [1246,]  20.00000000                        1000                        800
## [1247,]  40.00000000                         500                        300
## [1248,]  67.00000000                         299                         99
## [1249,]  16.00000000                        1006                        845
## [1250,]  25.00000000                         160                        120
## [1251,]  20.00000000                          75                         60
## [1252,]  10.00000000                        2350                       2115
## [1253,]  23.00000000                         570                        439
## [1254,]  30.00000000                         193                        135
## [1255,]  35.00000000                         129                         84
## [1256,]  44.00000000                        6364                       3564
## [1257,]  10.00000000                        1000                        900
## [1258,]  10.00000000                         700                        630
## [1259,]  25.00000000                         200                        150
## [1260,]   8.00000000                         213                        196
## [1261,]  16.00000000                         219                        184
## [1262,]  29.00000000                          69                         49
## [1263,]  27.00000000                          59                         43
## [1264,] 100.00000000                           6                          0
## [1265,]  17.00000000                        5882                       4882
## [1266,]  10.00000000                        1500                       1350
## [1267,]  31.00000000                         439                        303
## [1268,]  10.00000000                         900                        810
## [1269,]  34.00000000                         265                        175
## [1270,]  32.00000000                         125                         85
## [1271,]  15.00000000                         240                        204
## [1272,]   5.00000000                         500                        475
## [1273,]   4.00000000                         200                        192
## [1274,]  45.00000000                        1111                        611
## [1275,]  28.00000000                         714                        514
## [1276,]  33.00000000                         279                        187
## [1277,]  45.00000000                         198                        109
## [1278,]  40.00000000                         215                        129
## [1279,]  35.00000000                         229                        149
## [1280,]  35.00000000                         137                         89
## [1281,]  40.00000000                         100                         60
## [1282,]   5.00000000                         600                        570
## [1283,]  10.00000000                         210                        189
## [1284,]  16.00000000                         113                         95
## [1285,]  10.00000000                         110                         99
## [1286,]  12.00000000                          33                         29
## [1287,]  50.00000000                        2600                       1300
## [1288,]  44.00000000                         909                        509
## [1289,]  53.00000000                         642                        302
## [1290,]   7.00000000                        3371                       3135
## [1291,]  20.00000000                         500                        400
## [1292,]  15.00000000                         580                        493
## [1293,]  10.00000000                         600                        540
## [1294,]   8.00000000                         663                        610
## [1295,]   7.00000000                         714                        664
## [1296,]  33.00000000                         303                        203
## [1297,]  20.00000000                         500                        400
## [1298,]  20.00000000                         385                        308
## [1299,]  10.00000000                         260                        234
## [1300,]  14.00000000                         171                        147
## [1301,]  32.00000000                          72                         49
## [1302,]  20.00000000                          75                         60
## [1303,]  10.00000000                         100                         90
## [1304,]  25.00000000                         160                        120
## [1305,]  12.00000000                         417                        367
## [1306,]  33.00000000                        1415                        948
## [1307,]  50.00000000                         600                        300
## [1308,]  37.00000000                         397                        250
## [1309,]   7.00000000                        1071                        996
## [1310,]  13.00000000                         462                        402
## [1311,]  40.00000000                          88                         53
## [1312,]  13.00000000                         262                        228
## [1313,]   8.00000000                         300                        276
## [1314,]  25.00000000                          72                         54
## [1315,]  35.00000000                        2000                       1300
## [1316,]   3.00000000                        8000                       7760
## [1317,]  54.00000000                         363                        167
## [1318,]  22.00000000                         700                        546
## [1319,]  25.00000000                         400                        300
## [1320,]  20.00000000                         450                        360
## [1321,]  17.00000000                         412                        342
## [1322,]  30.00000000                         217                        152
## [1323,]  25.00000000                         236                        177
## [1324,]  20.00000000                         195                        156
## [1325,]  19.00000000                         184                        149
## [1326,]  15.00000000                         200                        170
## [1327,]   7.00000000                         329                        306
## [1328,]   7.00000000                         100                         93
## [1329,]   6.00000000                         100                         94
## [1330,]   7.00000000                          71                         66
## [1331,]  20.00000000                         500                        400
## [1332,]  12.00000000                         433                        381
## [1333,]  25.00000000                         204                        153
## [1334,]  20.00000000                         250                        200
## [1335,]  13.00000000                         354                        308
## [1336,]   9.00000000                         500                        455
## [1337,]   9.00000000                         267                        243
## [1338,]  20.00000000                         100                         80
## [1339,]  20.00000000                          85                         68
## [1340,]  25.00000000                          60                         45
## [1341,]  40.00000000                          23                         14
## [1342,]  18.00000000                        1939                       1590
## [1343,]  30.00000000                         700                        490
## [1344,]  41.00000000                         473                        279
## [1345,]  30.00000000                         360                        252
## [1346,]  37.00000000                         176                        111
## [1347,]   4.00000000                         425                        408
## [1348,]  14.00000000                          36                         31
## [1349,]  30.00000000                         833                        583
## [1350,]  25.00000000                         480                        360
## [1351,]  20.00000000                         400                        320
## [1352,]  30.00000000                         233                        163
## [1353,]  30.00000000                         170                        119
## [1354,]   9.00000000                         344                        313
## [1355,]  75.00000000                          33                          8
## [1356,]  50.00000000                          18                          9
## [1357,]  39.00000000                        1026                        626
## [1358,] 100.00000000                          17                          0
## [1359,]  50.00000000                         500                        250
## [1360,]  85.00000000                         531                         80
## [1361,]  30.00000000                        1353                        947
## [1362,] 100.00000000                         250                          0
## [1363,]  16.66666667                        1200                       1000
## [1364,]  25.00000000                         520                        390
## [1365,]  30.00000000                         423                        296
## [1366,]  25.00000000                         400                        300
## [1367,]  20.00000000                         500                        400
## [1368,]  30.00000000                         260                        182
## [1369,]  10.00000000                         470                        423
## [1370,]  20.00000000                         150                        120
## [1371,]  20.00000000                         150                        120
## [1372,]  50.00000000                         500                        250
## [1373,]  10.00000000                         500                        450
## [1374,]  10.00000000                         470                        423
## [1375,]  75.00000000                          55                         14
## [1376,]  20.00000000                         115                         92
## [1377,] 100.00000000                          13                          0
## [1378,]  25.00000000                        1200                        900
## [1379,]  23.00000000                         243                        187
## [1380,]  28.00000000                         186                        134
## [1381,]  75.00000000                          67                         17
## [1382,]  23.00000000                         130                        100
## [1383,]   5.00000000                         240                        228
## [1384,]  33.00000000                        1212                        812
## [1385,]  67.00000000                         130                         43
## [1386,]  30.00000000                         267                        187
## [1387,]  15.00000000                        2500                       2125
## [1388,]  18.00000000                         833                        683
## [1389,]  50.00000000                         182                         91
## [1390,]  22.00000000                         173                        135
## [1391,]  40.00000000                          50                         30
## [1392,]  17.00000000                          88                         73
## [1393,]  25.00000000                          52                         39
## [1394,]  98.00000000                         800                         16
## [1395,]  50.00000000                          60                         30
## [1396,]  50.00000000                         100                         50
## [1397,]  20.00000000                          20                         16
## [1398,]  22.00000000                         591                        461
## [1399,] 100.00000000                          16                          0
## [1400,]  10.00000000                          80                         72
## [1401,]  75.00000000                           8                          2
## [1402,]  40.00000000                          50                         30
## [1403,]  17.00000000                        1000                        830
## [1404,]   5.00000000                        2500                       2375
## [1405,]   5.00000000                        2000                       1900
## [1406,]  13.00000000                         462                        402
## [1407,]   0.53191489                      188000                     187000
## [1408,]  13.33333333                         450                        390
## [1409,]  35.00000000                        1429                        929
## [1410,]   5.00000000                        1260                       1197
## [1411,]  10.00000000                         370                        333
## [1412,]   4.00000000                         250                        240
## [1413,]  25.00000000                        7200                       5400
## [1414,]  67.00000000                         119                         39
## [1415,]  17.00000000                         412                        342
## [1416,]   9.00000000                         556                        506
## [1417,]  15.00000000                         200                        170
## [1418,] 100.00000000                         200                          0
drop(scale(new_layoff,center=center, scale=scale)%*%layoff_pca$rotation[,1])
##    [1]  8.741866e-02  1.733845e-01 -8.104742e-02  6.856960e-02  2.337609e-02
##    [6]  2.434597e-01  7.378512e-02  1.401405e-02  2.946350e-01  7.619762e-01
##   [11]  7.833986e-01 -8.641905e-02  1.903800e-01 -3.523376e-01  3.132612e-01
##   [16] -2.382298e-02 -3.247451e-01  1.592215e-01  2.101696e-01 -6.902156e-01
##   [21] -1.085719e-01 -3.503581e-01  6.458137e-02 -3.279044e-01  1.308956e-01
##   [26]  4.147206e-01  1.677193e-01  1.648867e-01  1.393950e-01  7.725164e-01
##   [31]  2.746696e-02  2.562884e-01  1.877074e-01  1.074700e-01 -1.288722e+00
##   [36] -8.846585e-02  8.575101e-02  2.441169e-01  1.960452e-01 -4.832359e-02
##   [41] -6.541468e-03  1.456109e-01  1.943139e-01 -1.685510e-01  2.304780e-01
##   [46]  1.068141e-01  3.374921e-01  3.227280e-01  1.292811e-01 -1.426321e-01
##   [51]  1.104624e-01  2.482760e-01  2.761504e-01  4.130669e-02  8.034177e-02
##   [56]  2.052376e-01  1.044777e-01  1.521401e-01 -1.029309e-01  1.903800e-01
##   [61]  1.030371e-01  6.856960e-02  3.440261e-01  2.163357e-01 -8.703211e-02
##   [66]  1.534135e-01  1.949122e-01  1.506491e-01  3.027882e-01  1.875474e-01
##   [71]  1.014853e-01  3.061511e-01  1.875474e-01 -5.016248e-01  6.053405e-02
##   [76]  2.482760e-01  1.819436e-01 -2.497476e-02 -1.217130e+00  2.519445e-01
##   [81]  2.145033e-02  3.027882e-01  4.856476e-02  1.494335e-01  7.858860e-01
##   [86] -6.197556e-01  3.746589e-02  6.856960e-02  9.735229e-02  6.994503e-02
##   [91]  2.730850e-02 -2.768964e-01 -5.112402e-02  1.361867e-01  1.647648e-01
##   [96]  6.990540e-02  5.970115e-01  5.839564e-02 -7.923405e-02  2.678978e-01
##  [101]  1.124243e-01  2.393455e-01  2.480618e-01  5.213362e-01  2.651879e-01
##  [106]  2.485514e-01  3.797401e-02  1.612813e-01  1.762171e-01  9.250832e-02
##  [111]  1.471793e-01  2.155800e-01  4.818249e-02  2.850101e-01  2.218411e-01
##  [116]  2.609925e-02  1.762009e-02  8.034177e-02  7.865078e-01  1.277310e-01
##  [121] -4.944328e-03  2.446912e-01  1.262095e-01  7.879380e-01 -2.232864e-01
##  [126]  1.130484e-01  1.164470e-01  1.140532e-01  1.167327e-01  9.475488e-02
##  [131]  1.514929e-01  2.700361e-01  7.455428e-02  1.912298e-01 -2.419296e-02
##  [136] -2.387787e-02  5.490283e-02 -1.196876e+00  3.435235e-01 -4.054173e-01
##  [141]  1.881140e-01  6.334780e-01  1.300299e-01  2.810859e-01  7.133036e-01
##  [146]  7.600796e-01 -6.486919e-03  2.074941e-01  9.193498e-02  9.710870e-03
##  [151]  1.289118e-01  9.375638e-02 -3.908758e-02  3.382460e-01  2.926677e-01
##  [156]  7.096943e-02  9.250832e-02  6.657743e-02  1.107184e-01  7.693880e-02
##  [161] -1.883033e-02  2.409379e-01  8.763326e-02 -5.164216e-01 -1.712226e-01
##  [166]  7.455428e-02 -1.281856e-01  1.252304e-01  2.163357e-01  2.678978e-01
##  [171]  9.712401e-02  1.677193e-01  8.915184e-02  5.061556e-02  2.616402e-01
##  [176]  5.823169e-02  1.361867e-01  5.431838e-02  1.313780e-01  1.044777e-01
##  [181]  1.572932e-01 -1.601433e-02  2.144410e-01  2.879533e-01  4.392696e-04
##  [186]  2.067704e-01  3.797401e-02  9.370526e-02 -5.230489e-01  1.159171e-01
##  [191]  1.762009e-02 -1.021132e+00  1.788987e-01  6.761389e-02 -4.497857e-01
##  [196] -2.620773e-01  2.922143e-01  1.104624e-01  2.565086e-01 -3.398859e-01
##  [201]  1.118834e-01  8.652364e-02  2.858642e-01  1.404534e-01  1.277310e-01
##  [206]  9.331213e-02  2.168936e-01 -2.519073e-02 -8.637892e-03 -3.741882e-02
##  [211]  7.080119e-02  9.375638e-02  1.542582e-01  1.889637e-01  1.397540e-01
##  [216]  2.622974e-01  2.922143e-01  4.107670e-01  2.625522e-01 -6.569392e-01
##  [221]  1.322657e-01  2.001567e-02  7.163094e-02  9.516422e-02  2.611056e-01
##  [226]  1.257852e-01  6.138798e-02  7.381973e-02  6.092070e-02  1.103768e-01
##  [231]  1.336088e-01 -9.051428e-02  2.346137e-01  1.804660e-01  1.739612e-01
##  [236]  3.357329e-01 -3.787885e-01  7.756256e-01 -2.259231e-01  3.382460e-01
##  [241]  2.284476e-01  7.970282e-02  3.249276e-01  2.053248e-01  7.231959e-01
##  [246]  1.733845e-01  2.215475e-01  1.055298e-01  1.596653e-01  1.974615e-01
##  [251]  1.825422e-01  1.097932e-01  1.356742e-01  3.753067e-01 -1.046295e-01
##  [256]  5.996378e-01  2.341733e-01  1.584828e-01 -6.955236e-01  2.559110e-01
##  [261] -2.267015e-01  2.896995e-01  2.361552e-01 -6.892810e-01  1.107184e-01
##  [266]  1.579104e-01  5.061556e-02  8.053896e-02  6.127858e-02 -2.435288e+01
##  [271] -2.422327e-01  2.273465e-01 -2.859147e-01  1.487536e-01  1.983399e-01
##  [276]  2.650048e-01  2.313105e-01  2.705707e-01 -4.166638e+00  6.856960e-02
##  [281]  1.804660e-01  1.368256e-01  2.723316e-01 -1.455786e-01 -2.422327e-01
##  [286]  1.487536e-01  4.856476e-02  1.340181e-01 -5.226736e-01 -2.454084e-01
##  [291]  3.301060e-02  5.547881e-01 -2.891808e-01  1.194939e-01  1.212348e-01
##  [296] -6.876074e-01 -2.625773e-01 -4.429308e-02  1.450586e-01  1.159171e-01
##  [301]  5.327180e-02  5.438970e-02  2.097291e-01 -1.642293e-01  4.562291e-02
##  [306]  2.341733e-01  8.722789e-03 -6.312859e+00  2.648891e-01  5.478419e-01
##  [311]  1.733845e-01  2.267621e-02  2.393455e-01  5.490283e-02  2.587730e-01
##  [316] -2.857557e+00  2.810859e-01 -2.785419e-01  8.840674e-02 -9.337865e-02
##  [321] -9.877104e-02 -2.778585e-01 -5.336595e-02 -1.928003e-02  2.752579e-02
##  [326] -6.996948e-02  7.861969e-01 -3.286339e-01  2.073068e-01  3.261121e-02
##  [331] -5.908804e-02  1.733845e-01  5.801490e-01 -2.515043e-01  1.937248e-01
##  [336] -1.129001e-01  2.798129e-01  3.565385e-02 -6.486919e-03  1.105109e-01
##  [341]  1.189585e-01 -2.869608e-01  4.442991e-02 -6.307022e-02  3.692743e-02
##  [346]  9.028784e-02  2.330722e-01 -3.397851e-01 -6.876074e-01 -2.066609e-02
##  [351]  6.856960e-02  7.854818e-01  1.030371e-01 -1.541840e-01  2.273465e-01
##  [356]  2.339531e-01  1.301138e-01  1.765003e-01 -2.768964e-01  3.059194e-03
##  [361]  6.856960e-02 -4.173908e-01 -1.317333e-01  7.455428e-02  2.495264e-01
##  [366]  3.769843e-02  2.744397e-02  1.182424e-01 -1.630839e+00 -1.009347e+00
##  [371] -3.279044e-01  9.832081e-02 -2.243790e-01  1.289118e-01  1.326061e-01
##  [376]  1.083922e-01  3.462854e-01 -1.556089e-01 -1.564388e-01  1.620541e-01
##  [381]  1.209604e-01 -2.796872e-03  1.110608e-01  2.337328e-01  1.732686e-01
##  [386] -6.131219e+00 -5.336595e-02  7.872851e-01  2.627464e-01 -6.486919e-03
##  [391]  1.145596e-01  3.692743e-02 -2.608236e-01  6.994386e-02  9.849300e-02
##  [396]  1.903800e-01  2.562884e-01 -5.121492e-01 -2.333059e-01  1.044777e-01
##  [401]  1.695853e-01  1.573178e-01 -1.212586e+01 -9.189028e-01 -2.880039e-01
##  [406] -3.745690e-02 -6.486919e-03  1.098639e-01  2.486127e-01  2.945849e-01
##  [411] -3.111919e-02  7.963210e-02 -1.219709e+01 -1.408942e-01 -2.065252e-01
##  [416]  1.238141e-01 -2.819409e-02  1.620541e-01  1.003932e-01  8.931579e-02
##  [421]  9.375638e-02  1.953647e-02  2.079346e-01  4.562291e-02  2.770201e-01
##  [426]  3.570073e-02 -5.112402e-02 -5.106322e-01  7.816574e-01  1.098997e-01
##  [431]  6.258492e-02  5.282767e-01  6.008082e-02  2.660739e-01  2.572065e-01
##  [436]  3.657017e-01  6.361455e-02  3.332198e-01  3.265485e-01  2.390847e-01
##  [441]  1.242889e-01  1.811569e-01  2.668287e-01  2.042454e-02 -2.400298e-01
##  [446]  6.919491e-02 -2.796872e-03 -6.738580e-02  1.946758e-01  8.163580e-02
##  [451]  6.856960e-02  1.715925e-01  6.017010e-01  2.418068e-02  1.903800e-01
##  [456]  4.583764e-02  4.481003e-01  9.849300e-02 -1.185443e-02  1.238141e-01
##  [461]  4.261397e-02  4.027656e-01  1.632199e-01 -5.502437e-02  1.695853e-01
##  [466]  2.317509e-01  9.107543e-02  2.922143e-01  1.553342e-01 -2.489133e+01
##  [471] -4.659328e+00  1.801827e-01  9.514754e-02  6.719169e-02  8.293283e-02
##  [476] -2.744230e+00  1.083011e-01  1.612813e-01  2.160204e-01  3.450314e-01
##  [481]  1.422799e-01  2.317509e-01  2.707279e-01  6.884269e-02 -2.110313e-01
##  [486]  2.686250e-01  1.847149e-01  2.393455e-01  7.235264e-03  1.044777e-01
##  [491]  9.078921e-02  7.156194e-02  6.892186e-02  8.840674e-02  2.288881e-01
##  [496]  1.164470e-01  1.314956e-01  2.834436e-01  1.124635e-01  7.378418e-03
##  [501]  1.297626e-01 -4.402291e-01  1.240317e-01  2.465151e-01 -2.497476e-02
##  [506]  4.140617e-01  1.803625e-02  1.534135e-01  4.583764e-02 -1.086511e-02
##  [511]  1.280630e-01 -1.423442e-01  3.864619e-02  9.151629e-02  9.605101e-02
##  [516]  4.189919e-02  1.044777e-01  2.696587e-01  1.784580e-01  2.835547e-01
##  [521]  5.426349e-02  1.277310e-01  8.956329e-02  9.863616e-02  1.445158e-01
##  [526]  8.951598e-02  1.774821e-01  1.468330e-01  6.258492e-02  3.124839e-01
##  [531]  1.550139e-01  2.147310e-01 -1.174313e+00  7.897491e-02  2.800556e-01
##  [536]  1.912265e-01 -6.486919e-03  1.231963e-01 -3.259089e-02  3.646954e-02
##  [541]  4.187684e-01  2.273465e-01  1.988778e-01  3.745255e-01  1.167327e-01
##  [546]  7.411608e-03  6.306923e-02  2.917428e-01  1.134547e-01 -9.256348e-02
##  [551]  1.818823e-01  1.030371e-01  3.202546e-01  1.960452e-01 -7.214001e-03
##  [556]  5.327180e-02 -5.322284e-02  7.275887e-02 -6.996948e-02 -1.020351e+00
##  [561]  1.167327e-01  1.719682e-01 -6.729222e-02  2.855499e-01  2.302094e-01
##  [566]  1.841828e-01  6.127858e-02  1.150704e-01 -2.061730e+01 -4.946663e+00
##  [571]  1.524242e-01  3.231675e-01  5.660024e-02  8.705311e-02  2.053230e-01
##  [576]  7.427698e-02  2.013590e-01 -1.464402e-01  7.543940e-04  1.221119e-01
##  [581]  7.843314e-01  1.542582e-01  1.098639e-01 -5.226736e-01  1.167327e-01
##  [586]  6.709445e-01  1.095534e-01  9.422451e-02  2.013590e-01  8.351471e-02
##  [591]  2.572065e-01  6.839325e-02 -4.983218e-01  2.037496e-01 -2.796872e-03
##  [596]  2.398999e-01  1.014853e-01  4.049248e-01 -4.832429e+00 -2.400848e-01
##  [601]  3.106020e-01  1.796776e-01  1.629039e-01  1.145596e-01  1.068716e-01
##  [606]  7.602556e-02  1.553342e-01  4.154737e-01 -6.209777e+00 -8.104742e-02
##  [611] -3.383407e-01  4.935052e-02 -4.340805e-02  7.329730e-02  7.818440e-01
##  [616]  6.083253e-02  2.013590e-01 -2.606237e-01 -1.667106e-01  1.068141e-01
##  [621] -1.755263e-01  1.847149e-01  1.196828e-02  6.610505e-02  4.343394e-02
##  [626]  1.822580e-01  6.856960e-02  1.262095e-01  4.168857e-01 -1.518240e-02
##  [631]  2.810859e-01  1.647648e-01  1.647648e-01  2.776553e-02  3.032511e-02
##  [636] -5.112402e-02  2.469771e-01  1.946289e-01 -2.096312e+01  7.849532e-01
##  [641]  3.462317e-01  1.512633e-01  9.710870e-03 -2.768964e-01  1.119750e-01
##  [646] -7.452863e-02  3.452438e-01  1.282733e-01  4.199921e-01  8.840674e-02
##  [651]  7.491898e-02  7.235264e-03  1.499135e-01  3.305289e-01  5.660024e-02
##  [656]  2.901710e-01  2.696587e-01  3.105275e-02  3.855568e-01  1.233049e-01
##  [661] -7.743813e-01  2.692813e-01  1.331862e-01  3.346185e-02  1.939968e-01
##  [666]  2.026198e-01  1.343880e-01  1.343880e-01  7.860414e-01 -2.980445e+00
##  [671]  3.864619e-02  5.980746e-01 -1.708176e-01  6.217133e-02  2.572065e-01
##  [676]  1.254952e-01  3.064655e-01  3.836040e-02  7.555078e-01  1.827320e-01
##  [681] -1.008514e-01 -8.139566e-02 -1.036450e-01  4.818249e-02  2.273465e-01
##  [686] -1.260189e-02  1.488746e-01  1.322657e-01  8.173590e-02  1.903800e-01
##  [691] -3.275143e-01  1.233603e-01  1.378594e-01  4.429354e-02  6.227615e-02
##  [696]  2.795142e-01  7.849532e-01 -1.424948e-01  1.441205e-01 -1.642293e-01
##  [701]  3.669893e-01  1.478912e-01  1.044777e-01  3.127378e-02  1.378594e-01
##  [706]  1.917963e-01 -2.971973e-01  2.644702e-01  3.032511e-02  5.965115e-01
##  [711] -3.111919e-02 -2.796872e-03  1.525855e-01  2.582384e-01  7.214210e-02
##  [716]  7.833986e-01  3.155400e-02  3.646954e-02  2.123564e-02  2.906425e-01
##  [721]  2.922143e-01  6.350503e-02  1.262095e-01  4.571108e-02  1.436843e-01
##  [726] -1.608613e-01  1.217042e-01  6.856960e-02  8.652364e-02  1.932126e-01
##  [731]  1.110608e-01  1.056746e-01  2.580554e-01  8.903725e-02  7.837095e-01
##  [736]  1.974615e-01  1.072218e-01  1.626206e-01  7.595398e-02  9.028784e-02
##  [741]  4.188625e-01  1.947898e-01  1.159171e-01  9.550066e-02  5.022886e-02
##  [746] -9.773614e-01 -4.340805e-02  1.678538e-01  1.054314e-01  1.242931e-01
##  [751]  1.130858e-01  1.631428e-01  3.716269e-02  3.454856e-02  3.241106e-01
##  [756] -2.047518e-01  2.691717e-01  1.762171e-01  6.839325e-02  8.498722e-02
##  [761]  1.002884e-01  1.282733e-01 -2.489693e-02  2.037496e-01 -3.324656e-01
##  [766]  2.097291e-01 -4.705598e-02  1.627854e-01  2.664513e-01 -2.907998e-02
##  [771] -2.907998e-02  6.719169e-02  4.463087e-02  9.849300e-02  1.692390e-01
##  [776]  3.716269e-02  1.119750e-01  3.815035e-02 -3.908758e-02  2.853927e-01
##  [781]  1.085583e-01  1.883972e-01  2.267621e-02  5.104925e-02  3.103784e-01
##  [786]  2.207400e-01  1.803625e-02  1.864144e-01  1.104624e-01  2.708850e-01
##  [791]  9.936071e-02  4.161326e-01  7.857305e-01  2.870223e-01  2.108302e-01
##  [796]  5.832793e-02  2.874360e-01  1.847149e-01 -7.566484e-01 -5.190423e-02
##  [801]  2.241063e-01  3.811716e-02 -4.700517e-01  6.839325e-02  1.661854e-01
##  [806] -1.549243e-03  2.708850e-01  7.874489e-02  1.043601e-01  7.843314e-01
##  [811]  1.875474e-01  2.092575e-01  7.333612e-02  2.053248e-01  1.281932e-01
##  [816]  9.071292e-02  2.874360e-01  7.825166e-02  1.450586e-01 -1.174272e-01
##  [821]  1.517711e-01  1.932126e-01  1.110383e-01  2.051745e-01  4.738722e-02
##  [826]  1.104624e-01  4.121790e-01  1.434959e-02  1.949122e-01  1.509170e-01
##  [831]  1.440937e-01  2.291083e-01  7.255997e-02  4.856476e-02  2.728039e-01
##  [836]  3.332198e-01  2.572065e-01  1.733845e-01  1.647648e-01  1.592134e-01
##  [841] -7.692857e-01  1.208723e-01  2.228300e-01  1.395087e-01  7.569704e-01
##  [846]  1.950350e-01 -9.256348e-02  1.289118e-01  1.774821e-01  5.424256e-02
##  [851]  2.459390e-01  1.774821e-01  1.974615e-01 -4.638980e-02  2.536217e-01
##  [856] -2.796872e-03  8.053896e-02  1.771989e-01  9.107543e-02  8.295672e-02
##  [861]  2.937861e-01  1.038971e-01  1.035823e-01  1.297534e-01  1.580735e-01
##  [866]  2.053248e-01  7.854196e-01  3.999049e-02  8.381761e-02  5.975266e-02
##  [871]  7.827768e-01  8.351471e-02  1.932126e-01  1.331862e-01  1.200379e-01
##  [876]  7.702278e-02 -2.243790e-01  4.945992e-02  1.703964e-01  1.970480e-01
##  [881]  1.903800e-01  2.717970e-01  2.348339e-01  1.522865e-01  2.215475e-01
##  [886]  2.302890e-02  3.344764e-01  9.849300e-02  9.107543e-02  4.198980e-01
##  [891] -4.944328e-03 -1.662966e-01 -1.934971e-01  2.625522e-01  2.324115e-01
##  [896]  1.986009e-01  2.019247e-01  1.405727e-01  1.233603e-01 -5.437223e-01
##  [901]  7.427698e-02  1.404534e-01  9.341651e-02  1.467516e-01  1.677193e-01
##  [906]  2.983251e-01  1.610539e-01  7.602556e-02  1.074700e-01  1.640496e-01
##  [911]  1.054023e-01  2.678978e-01  9.561187e-02  7.849221e-01  9.375638e-02
##  [916]  2.607282e-01  4.557306e-01  1.534135e-01  2.409492e-01  8.070943e-02
##  [921] -2.333059e-01  1.191340e-01  1.971783e-01  3.032511e-02  1.475886e-01
##  [926]  9.497518e-02  7.838452e-02  3.864619e-02  2.141335e-01  2.181293e-01
##  [931]  7.456500e-02  2.732435e-01 -1.630520e-01 -2.415965e-01 -1.408942e-01
##  [936]  1.359387e-01  2.890077e-01  1.140532e-01  1.308956e-01  2.880647e-01
##  [941]  3.441203e-01 -2.277409e-01  2.304780e-01  6.856960e-02  1.847149e-01
##  [946]  1.475886e-01  9.863616e-02  2.915089e-02  3.691490e-02  2.823195e-02
##  [951]  3.382460e-01  5.747392e-03  7.868187e-01  1.447922e-01  5.981837e-02
##  [956]  1.420075e-01  1.068141e-01  1.875474e-01 -1.261832e-01 -1.261832e-01
##  [961]  9.516422e-02  1.902826e-01  6.301386e-02  2.104847e-01  1.569085e-01
##  [966] -7.526053e-02  2.009205e-01  4.084137e-01  6.856960e-02  6.911781e-02
##  [971]  2.922143e-01  2.328520e-01 -2.796872e-03  7.849532e-01  9.866935e-02
##  [976]  8.951598e-02  1.435011e-01  3.071883e-01  2.900138e-01  2.357148e-01
##  [981]  2.236409e-01  6.856960e-02 -1.298127e-01  2.491879e-01  2.395527e-01
##  [986]  5.983629e-02  9.247041e-02  1.167327e-01  2.046400e-01  2.273465e-01
##  [991]  1.889637e-01  1.932126e-01  3.933523e-01 -2.905113e-01  3.762799e-01
##  [996]  7.860414e-01  5.431838e-02  1.932126e-01  5.735638e-01  2.352477e-01
## [1001]  1.312788e-01  8.652364e-02 -5.121492e-01 -2.618692e-01 -8.783825e-01
## [1006]  6.856960e-02  4.571108e-02  3.357329e-01  2.980365e-01  4.562291e-02
## [1011] -1.090400e+00  4.466046e-02  2.651792e-01  6.853641e-02  3.886456e-01
## [1016]  4.475284e-02 -8.298950e-01 -3.367990e-01  7.455428e-02  2.225018e-01
## [1021]  7.787348e-01  2.191985e-01  2.669859e-01  5.151379e-01  1.494335e-01
## [1026] -1.062219e-01  2.998900e-01  7.543940e-04  2.286541e-01  8.722789e-03
## [1031] -1.626152e-01  7.866944e-01  1.159171e-01  1.164470e-01 -1.591398e-01
## [1036]  3.305289e-01  3.408533e-01 -8.541388e-01  1.733845e-01  6.856960e-02
## [1041]  3.933523e-01  3.801886e-01 -1.802710e-01  9.375638e-02  2.163357e-01
## [1046]  9.125992e-02  4.111436e-01  1.262095e-01  2.456299e-01  7.498622e-02
## [1051]  1.847149e-01 -5.914153e-01  1.855646e-01 -8.887597e-01  2.842925e-01
## [1056] -1.552370e-01 -4.805761e-01  2.389249e-01 -2.020774e-01  7.131784e-01
## [1061]  4.181095e-01  7.123844e-01 -3.257335e-02  3.231675e-01  1.770669e-01
## [1066]  7.866633e-01  9.516422e-02  7.874095e-01  4.273983e-02  6.358521e-01
## [1071]  2.372563e-01  7.832742e-01  4.187684e-01  9.863616e-02  1.492486e-01
## [1076]  5.123873e-02  7.431338e-01  5.490283e-02  1.238403e-01 -8.104742e-02
## [1081] -3.050358e+00  6.410996e-01  1.833031e-01  7.874406e-01  3.135306e-01
## [1086]  4.145324e-01  7.853574e-01  7.543940e-04 -3.383407e-01  5.786791e-01
## [1091]  1.115187e-01 -8.788980e-01  4.121290e-01  1.417637e-01  1.167327e-01
## [1096]  9.375638e-02  7.087835e-02 -2.410126e-01  1.832650e-01  5.722388e-02
## [1101] -1.663882e-01  7.113397e-01  7.878758e-01 -5.146365e-01  2.295487e-01
## [1106]  2.803917e-01 -3.506295e-01 -3.766042e-01  2.286678e-01  1.888085e-01
## [1111]  4.006880e-01  2.524186e-01  7.897827e-02  1.501767e-01  3.420157e-01
## [1116]  1.413914e-01  2.302890e-02  1.983399e-01  1.485393e-01 -5.502437e-02
## [1121]  1.596478e-01  1.680481e-01 -2.585577e-01 -8.104742e-02  2.102644e-01
## [1126]  1.410080e-01  4.925676e-01  1.011154e-01  2.359809e-01  8.653900e-02
## [1131]  2.339531e-01  6.906544e-02  6.688111e-02  7.839244e-02  7.838028e-01
## [1136] -1.109708e-01  3.012795e-01  3.164038e-01  1.042139e-01  9.154588e-02
## [1141]  7.811911e-01  9.139725e-03  2.161155e-01  5.936769e-02 -9.684557e-03
## [1146]  2.704800e-01 -1.208561e+00 -3.024406e-01  1.733845e-01 -8.514866e-02
## [1151]  3.745255e-01  1.188409e-01  3.467244e-04  8.652364e-02  1.514929e-01
## [1156]  7.672618e-01  3.418585e-01  1.790875e-01  4.147206e-01  1.748975e-01
## [1161]  1.675075e-01  4.402053e-02 -4.705598e-02  2.321913e-01  6.001749e-03
## [1166]  7.725164e-01  2.215475e-01  4.157561e-01  1.134713e-01  2.169021e-01
## [1171] -1.390183e+00  7.595398e-02  9.849300e-02 -1.800556e-01  1.146338e-01
## [1176]  4.762322e-02  1.495092e-01  1.134547e-01 -1.172563e-01  1.904596e-01
## [1181]  8.840674e-02  1.921401e-01  1.410080e-01  2.643130e-01  1.054093e-01
## [1186]  5.660024e-02  3.344764e-01  2.739750e-01  6.377262e-01  1.943457e-01
## [1191] -1.530325e-01 -7.214001e-03  1.141899e-01  1.140532e-01  4.016176e-02
## [1196]  2.252572e-02  1.616170e-01  1.514929e-01  2.324115e-01  4.197097e-01
## [1201] -2.718530e-02  1.960452e-01  1.932126e-01  3.108413e-01  2.149512e-01
## [1206]  2.716398e-01  2.117749e-01  2.350541e-01  2.954208e-01  2.074033e-01
## [1211]  7.879380e-01  9.375638e-02  1.312788e-01  6.759884e-02  5.747392e-03
## [1216]  3.274586e-01  3.035111e-01  1.535775e-01 -3.973390e-01  1.930582e-01
## [1221]  3.565385e-02  1.881434e-01  1.322657e-01  9.569746e-02  1.368004e-01
## [1226]  1.224317e-01  4.856476e-02  1.196643e-01  2.185378e-01  2.589673e-01
## [1231]  2.310902e-01  1.056832e-01  5.643719e-02  2.909077e-01  2.371347e-01
## [1236]  4.722322e-02  1.002884e-01  3.769843e-02  1.074700e-01  1.774821e-01
## [1241]  3.245191e-01  9.151629e-02  1.663703e-01  1.847149e-01  2.227676e-01
## [1246]  1.450586e-01  3.231675e-01  5.337327e-01  1.141167e-01  2.295487e-01
## [1251]  1.974615e-01 -1.222359e-02  1.919502e-01  2.646904e-01  3.049568e-01
## [1256]  6.587741e-02  6.856960e-02  8.652364e-02  2.273465e-01  1.008729e-01
## [1261]  1.597049e-01  2.639641e-01  2.498079e-01  7.878758e-01 -1.591398e-01
## [1266]  3.864619e-02  2.590036e-01  7.455428e-02  2.904914e-01  2.830610e-01
## [1271]  1.510836e-01  6.104726e-02  7.208725e-02  3.308809e-01  2.217237e-01
## [1276]  2.823433e-01  3.753067e-01  3.374921e-01  2.997708e-01  3.045483e-01
## [1281]  3.432722e-01  5.490283e-02  1.158486e-01  1.658442e-01  1.218333e-01
## [1286]  1.411226e-01  2.992184e-01  3.330909e-01  4.139707e-01 -9.854551e-02
## [1291]  1.733845e-01  1.312788e-01  9.250832e-02  7.365424e-02  6.301386e-02
## [1296]  2.810859e-01  1.733845e-01  1.798995e-01  1.128562e-01  1.477207e-01
## [1301]  2.858590e-01  1.974615e-01  1.224317e-01  2.295487e-01  1.183843e-01
## [1306]  2.227090e-01  3.933523e-01  3.059792e-01  4.130669e-02  1.231963e-01
## [1311]  3.438690e-01  1.349740e-01  9.561187e-02  2.343935e-01  2.079327e-01
## [1316] -4.195557e-01  4.342880e-01  1.771602e-01  2.163357e-01  1.762171e-01
## [1321]  1.559855e-01  2.634011e-01  2.253646e-01  1.906633e-01  1.838996e-01
## [1326]  1.534135e-01  8.642230e-02  1.003477e-01  9.298633e-02  1.021120e-01
## [1331]  1.733845e-01  1.174395e-01  2.271263e-01  1.875474e-01  1.295575e-01
## [1336]  9.100385e-02  1.050216e-01  1.960452e-01  1.968950e-01  2.350541e-01
## [1341]  3.471360e-01  7.596405e-02  2.375846e-01  3.320073e-01  2.557599e-01
## [1346]  3.172916e-01  5.819039e-02  1.556243e-01  2.304780e-01  2.119313e-01
## [1351]  1.790497e-01  2.625522e-01  2.659167e-01  1.003911e-01  6.035458e-01
## [1356]  4.207452e-01  2.890680e-01  7.875338e-01  3.980590e-01  6.590556e-01
## [1361]  2.026805e-01  7.802894e-01  1.080189e-01  2.097291e-01  2.523954e-01
## [1366]  2.163357e-01  1.733845e-01  2.611056e-01  1.002884e-01  1.932126e-01
## [1371]  1.932126e-01  3.980590e-01  9.849300e-02  1.002884e-01  6.026700e-01
## [1376]  1.951954e-01  7.876582e-01  1.722922e-01  2.101686e-01  2.502812e-01
## [1381]  6.022011e-01  2.164617e-01  7.702278e-02  2.333659e-01  5.407764e-01
## [1386]  2.607282e-01  1.944010e-02  1.393303e-01  4.130262e-01  2.066771e-01
## [1391]  3.457853e-01  1.746538e-01  2.354946e-01  7.480188e-01  4.187684e-01
## [1396]  4.168857e-01  2.005774e-01  1.832650e-01  7.875649e-01  1.236287e-01
## [1401]  6.045148e-01  3.457853e-01  1.221119e-01 -6.184133e-02 -3.111919e-02
## [1406]  1.231963e-01 -1.176088e+01  1.263959e-01  2.375396e-01  1.434959e-02
## [1411]  1.062731e-01  6.899906e-02 -1.580339e-01  5.412462e-01  1.559855e-01
## [1416]  8.763326e-02  1.534135e-01  7.818440e-01
predict(layoff_pca)[,1]
##    [1]  8.741866e-02  1.733845e-01 -8.104742e-02  6.856960e-02  2.337609e-02
##    [6]  2.434597e-01  7.378512e-02  1.401405e-02  2.946350e-01  7.619762e-01
##   [11]  7.833986e-01 -8.641905e-02  1.903800e-01 -3.523376e-01  3.132612e-01
##   [16] -2.382298e-02 -3.247451e-01  1.592215e-01  2.101696e-01 -6.902156e-01
##   [21] -1.085719e-01 -3.503581e-01  6.458137e-02 -3.279044e-01  1.308956e-01
##   [26]  4.147206e-01  1.677193e-01  1.648867e-01  1.393950e-01  7.725164e-01
##   [31]  2.746696e-02  2.562884e-01  1.877074e-01  1.074700e-01 -1.288722e+00
##   [36] -8.846585e-02  8.575101e-02  2.441169e-01  1.960452e-01 -4.832359e-02
##   [41] -6.541468e-03  1.456109e-01  1.943139e-01 -1.685510e-01  2.304780e-01
##   [46]  1.068141e-01  3.374921e-01  3.227280e-01  1.292811e-01 -1.426321e-01
##   [51]  1.104624e-01  2.482760e-01  2.761504e-01  4.130669e-02  8.034177e-02
##   [56]  2.052376e-01  1.044777e-01  1.521401e-01 -1.029309e-01  1.903800e-01
##   [61]  1.030371e-01  6.856960e-02  3.440261e-01  2.163357e-01 -8.703211e-02
##   [66]  1.534135e-01  1.949122e-01  1.506491e-01  3.027882e-01  1.875474e-01
##   [71]  1.014853e-01  3.061511e-01  1.875474e-01 -5.016248e-01  6.053405e-02
##   [76]  2.482760e-01  1.819436e-01 -2.497476e-02 -1.217130e+00  2.519445e-01
##   [81]  2.145033e-02  3.027882e-01  4.856476e-02  1.494335e-01  7.858860e-01
##   [86] -6.197556e-01  3.746589e-02  6.856960e-02  9.735229e-02  6.994503e-02
##   [91]  2.730850e-02 -2.768964e-01 -5.112402e-02  1.361867e-01  1.647648e-01
##   [96]  6.990540e-02  5.970115e-01  5.839564e-02 -7.923405e-02  2.678978e-01
##  [101]  1.124243e-01  2.393455e-01  2.480618e-01  5.213362e-01  2.651879e-01
##  [106]  2.485514e-01  3.797401e-02  1.612813e-01  1.762171e-01  9.250832e-02
##  [111]  1.471793e-01  2.155800e-01  4.818249e-02  2.850101e-01  2.218411e-01
##  [116]  2.609925e-02  1.762009e-02  8.034177e-02  7.865078e-01  1.277310e-01
##  [121] -4.944328e-03  2.446912e-01  1.262095e-01  7.879380e-01 -2.232864e-01
##  [126]  1.130484e-01  1.164470e-01  1.140532e-01  1.167327e-01  9.475488e-02
##  [131]  1.514929e-01  2.700361e-01  7.455428e-02  1.912298e-01 -2.419296e-02
##  [136] -2.387787e-02  5.490283e-02 -1.196876e+00  3.435235e-01 -4.054173e-01
##  [141]  1.881140e-01  6.334780e-01  1.300299e-01  2.810859e-01  7.133036e-01
##  [146]  7.600796e-01 -6.486919e-03  2.074941e-01  9.193498e-02  9.710870e-03
##  [151]  1.289118e-01  9.375638e-02 -3.908758e-02  3.382460e-01  2.926677e-01
##  [156]  7.096943e-02  9.250832e-02  6.657743e-02  1.107184e-01  7.693880e-02
##  [161] -1.883033e-02  2.409379e-01  8.763326e-02 -5.164216e-01 -1.712226e-01
##  [166]  7.455428e-02 -1.281856e-01  1.252304e-01  2.163357e-01  2.678978e-01
##  [171]  9.712401e-02  1.677193e-01  8.915184e-02  5.061556e-02  2.616402e-01
##  [176]  5.823169e-02  1.361867e-01  5.431838e-02  1.313780e-01  1.044777e-01
##  [181]  1.572932e-01 -1.601433e-02  2.144410e-01  2.879533e-01  4.392696e-04
##  [186]  2.067704e-01  3.797401e-02  9.370526e-02 -5.230489e-01  1.159171e-01
##  [191]  1.762009e-02 -1.021132e+00  1.788987e-01  6.761389e-02 -4.497857e-01
##  [196] -2.620773e-01  2.922143e-01  1.104624e-01  2.565086e-01 -3.398859e-01
##  [201]  1.118834e-01  8.652364e-02  2.858642e-01  1.404534e-01  1.277310e-01
##  [206]  9.331213e-02  2.168936e-01 -2.519073e-02 -8.637892e-03 -3.741882e-02
##  [211]  7.080119e-02  9.375638e-02  1.542582e-01  1.889637e-01  1.397540e-01
##  [216]  2.622974e-01  2.922143e-01  4.107670e-01  2.625522e-01 -6.569392e-01
##  [221]  1.322657e-01  2.001567e-02  7.163094e-02  9.516422e-02  2.611056e-01
##  [226]  1.257852e-01  6.138798e-02  7.381973e-02  6.092070e-02  1.103768e-01
##  [231]  1.336088e-01 -9.051428e-02  2.346137e-01  1.804660e-01  1.739612e-01
##  [236]  3.357329e-01 -3.787885e-01  7.756256e-01 -2.259231e-01  3.382460e-01
##  [241]  2.284476e-01  7.970282e-02  3.249276e-01  2.053248e-01  7.231959e-01
##  [246]  1.733845e-01  2.215475e-01  1.055298e-01  1.596653e-01  1.974615e-01
##  [251]  1.825422e-01  1.097932e-01  1.356742e-01  3.753067e-01 -1.046295e-01
##  [256]  5.996378e-01  2.341733e-01  1.584828e-01 -6.955236e-01  2.559110e-01
##  [261] -2.267015e-01  2.896995e-01  2.361552e-01 -6.892810e-01  1.107184e-01
##  [266]  1.579104e-01  5.061556e-02  8.053896e-02  6.127858e-02 -2.435288e+01
##  [271] -2.422327e-01  2.273465e-01 -2.859147e-01  1.487536e-01  1.983399e-01
##  [276]  2.650048e-01  2.313105e-01  2.705707e-01 -4.166638e+00  6.856960e-02
##  [281]  1.804660e-01  1.368256e-01  2.723316e-01 -1.455786e-01 -2.422327e-01
##  [286]  1.487536e-01  4.856476e-02  1.340181e-01 -5.226736e-01 -2.454084e-01
##  [291]  3.301060e-02  5.547881e-01 -2.891808e-01  1.194939e-01  1.212348e-01
##  [296] -6.876074e-01 -2.625773e-01 -4.429308e-02  1.450586e-01  1.159171e-01
##  [301]  5.327180e-02  5.438970e-02  2.097291e-01 -1.642293e-01  4.562291e-02
##  [306]  2.341733e-01  8.722789e-03 -6.312859e+00  2.648891e-01  5.478419e-01
##  [311]  1.733845e-01  2.267621e-02  2.393455e-01  5.490283e-02  2.587730e-01
##  [316] -2.857557e+00  2.810859e-01 -2.785419e-01  8.840674e-02 -9.337865e-02
##  [321] -9.877104e-02 -2.778585e-01 -5.336595e-02 -1.928003e-02  2.752579e-02
##  [326] -6.996948e-02  7.861969e-01 -3.286339e-01  2.073068e-01  3.261121e-02
##  [331] -5.908804e-02  1.733845e-01  5.801490e-01 -2.515043e-01  1.937248e-01
##  [336] -1.129001e-01  2.798129e-01  3.565385e-02 -6.486919e-03  1.105109e-01
##  [341]  1.189585e-01 -2.869608e-01  4.442991e-02 -6.307022e-02  3.692743e-02
##  [346]  9.028784e-02  2.330722e-01 -3.397851e-01 -6.876074e-01 -2.066609e-02
##  [351]  6.856960e-02  7.854818e-01  1.030371e-01 -1.541840e-01  2.273465e-01
##  [356]  2.339531e-01  1.301138e-01  1.765003e-01 -2.768964e-01  3.059194e-03
##  [361]  6.856960e-02 -4.173908e-01 -1.317333e-01  7.455428e-02  2.495264e-01
##  [366]  3.769843e-02  2.744397e-02  1.182424e-01 -1.630839e+00 -1.009347e+00
##  [371] -3.279044e-01  9.832081e-02 -2.243790e-01  1.289118e-01  1.326061e-01
##  [376]  1.083922e-01  3.462854e-01 -1.556089e-01 -1.564388e-01  1.620541e-01
##  [381]  1.209604e-01 -2.796872e-03  1.110608e-01  2.337328e-01  1.732686e-01
##  [386] -6.131219e+00 -5.336595e-02  7.872851e-01  2.627464e-01 -6.486919e-03
##  [391]  1.145596e-01  3.692743e-02 -2.608236e-01  6.994386e-02  9.849300e-02
##  [396]  1.903800e-01  2.562884e-01 -5.121492e-01 -2.333059e-01  1.044777e-01
##  [401]  1.695853e-01  1.573178e-01 -1.212586e+01 -9.189028e-01 -2.880039e-01
##  [406] -3.745690e-02 -6.486919e-03  1.098639e-01  2.486127e-01  2.945849e-01
##  [411] -3.111919e-02  7.963210e-02 -1.219709e+01 -1.408942e-01 -2.065252e-01
##  [416]  1.238141e-01 -2.819409e-02  1.620541e-01  1.003932e-01  8.931579e-02
##  [421]  9.375638e-02  1.953647e-02  2.079346e-01  4.562291e-02  2.770201e-01
##  [426]  3.570073e-02 -5.112402e-02 -5.106322e-01  7.816574e-01  1.098997e-01
##  [431]  6.258492e-02  5.282767e-01  6.008082e-02  2.660739e-01  2.572065e-01
##  [436]  3.657017e-01  6.361455e-02  3.332198e-01  3.265485e-01  2.390847e-01
##  [441]  1.242889e-01  1.811569e-01  2.668287e-01  2.042454e-02 -2.400298e-01
##  [446]  6.919491e-02 -2.796872e-03 -6.738580e-02  1.946758e-01  8.163580e-02
##  [451]  6.856960e-02  1.715925e-01  6.017010e-01  2.418068e-02  1.903800e-01
##  [456]  4.583764e-02  4.481003e-01  9.849300e-02 -1.185443e-02  1.238141e-01
##  [461]  4.261397e-02  4.027656e-01  1.632199e-01 -5.502437e-02  1.695853e-01
##  [466]  2.317509e-01  9.107543e-02  2.922143e-01  1.553342e-01 -2.489133e+01
##  [471] -4.659328e+00  1.801827e-01  9.514754e-02  6.719169e-02  8.293283e-02
##  [476] -2.744230e+00  1.083011e-01  1.612813e-01  2.160204e-01  3.450314e-01
##  [481]  1.422799e-01  2.317509e-01  2.707279e-01  6.884269e-02 -2.110313e-01
##  [486]  2.686250e-01  1.847149e-01  2.393455e-01  7.235264e-03  1.044777e-01
##  [491]  9.078921e-02  7.156194e-02  6.892186e-02  8.840674e-02  2.288881e-01
##  [496]  1.164470e-01  1.314956e-01  2.834436e-01  1.124635e-01  7.378418e-03
##  [501]  1.297626e-01 -4.402291e-01  1.240317e-01  2.465151e-01 -2.497476e-02
##  [506]  4.140617e-01  1.803625e-02  1.534135e-01  4.583764e-02 -1.086511e-02
##  [511]  1.280630e-01 -1.423442e-01  3.864619e-02  9.151629e-02  9.605101e-02
##  [516]  4.189919e-02  1.044777e-01  2.696587e-01  1.784580e-01  2.835547e-01
##  [521]  5.426349e-02  1.277310e-01  8.956329e-02  9.863616e-02  1.445158e-01
##  [526]  8.951598e-02  1.774821e-01  1.468330e-01  6.258492e-02  3.124839e-01
##  [531]  1.550139e-01  2.147310e-01 -1.174313e+00  7.897491e-02  2.800556e-01
##  [536]  1.912265e-01 -6.486919e-03  1.231963e-01 -3.259089e-02  3.646954e-02
##  [541]  4.187684e-01  2.273465e-01  1.988778e-01  3.745255e-01  1.167327e-01
##  [546]  7.411608e-03  6.306923e-02  2.917428e-01  1.134547e-01 -9.256348e-02
##  [551]  1.818823e-01  1.030371e-01  3.202546e-01  1.960452e-01 -7.214001e-03
##  [556]  5.327180e-02 -5.322284e-02  7.275887e-02 -6.996948e-02 -1.020351e+00
##  [561]  1.167327e-01  1.719682e-01 -6.729222e-02  2.855499e-01  2.302094e-01
##  [566]  1.841828e-01  6.127858e-02  1.150704e-01 -2.061730e+01 -4.946663e+00
##  [571]  1.524242e-01  3.231675e-01  5.660024e-02  8.705311e-02  2.053230e-01
##  [576]  7.427698e-02  2.013590e-01 -1.464402e-01  7.543940e-04  1.221119e-01
##  [581]  7.843314e-01  1.542582e-01  1.098639e-01 -5.226736e-01  1.167327e-01
##  [586]  6.709445e-01  1.095534e-01  9.422451e-02  2.013590e-01  8.351471e-02
##  [591]  2.572065e-01  6.839325e-02 -4.983218e-01  2.037496e-01 -2.796872e-03
##  [596]  2.398999e-01  1.014853e-01  4.049248e-01 -4.832429e+00 -2.400848e-01
##  [601]  3.106020e-01  1.796776e-01  1.629039e-01  1.145596e-01  1.068716e-01
##  [606]  7.602556e-02  1.553342e-01  4.154737e-01 -6.209777e+00 -8.104742e-02
##  [611] -3.383407e-01  4.935052e-02 -4.340805e-02  7.329730e-02  7.818440e-01
##  [616]  6.083253e-02  2.013590e-01 -2.606237e-01 -1.667106e-01  1.068141e-01
##  [621] -1.755263e-01  1.847149e-01  1.196828e-02  6.610505e-02  4.343394e-02
##  [626]  1.822580e-01  6.856960e-02  1.262095e-01  4.168857e-01 -1.518240e-02
##  [631]  2.810859e-01  1.647648e-01  1.647648e-01  2.776553e-02  3.032511e-02
##  [636] -5.112402e-02  2.469771e-01  1.946289e-01 -2.096312e+01  7.849532e-01
##  [641]  3.462317e-01  1.512633e-01  9.710870e-03 -2.768964e-01  1.119750e-01
##  [646] -7.452863e-02  3.452438e-01  1.282733e-01  4.199921e-01  8.840674e-02
##  [651]  7.491898e-02  7.235264e-03  1.499135e-01  3.305289e-01  5.660024e-02
##  [656]  2.901710e-01  2.696587e-01  3.105275e-02  3.855568e-01  1.233049e-01
##  [661] -7.743813e-01  2.692813e-01  1.331862e-01  3.346185e-02  1.939968e-01
##  [666]  2.026198e-01  1.343880e-01  1.343880e-01  7.860414e-01 -2.980445e+00
##  [671]  3.864619e-02  5.980746e-01 -1.708176e-01  6.217133e-02  2.572065e-01
##  [676]  1.254952e-01  3.064655e-01  3.836040e-02  7.555078e-01  1.827320e-01
##  [681] -1.008514e-01 -8.139566e-02 -1.036450e-01  4.818249e-02  2.273465e-01
##  [686] -1.260189e-02  1.488746e-01  1.322657e-01  8.173590e-02  1.903800e-01
##  [691] -3.275143e-01  1.233603e-01  1.378594e-01  4.429354e-02  6.227615e-02
##  [696]  2.795142e-01  7.849532e-01 -1.424948e-01  1.441205e-01 -1.642293e-01
##  [701]  3.669893e-01  1.478912e-01  1.044777e-01  3.127378e-02  1.378594e-01
##  [706]  1.917963e-01 -2.971973e-01  2.644702e-01  3.032511e-02  5.965115e-01
##  [711] -3.111919e-02 -2.796872e-03  1.525855e-01  2.582384e-01  7.214210e-02
##  [716]  7.833986e-01  3.155400e-02  3.646954e-02  2.123564e-02  2.906425e-01
##  [721]  2.922143e-01  6.350503e-02  1.262095e-01  4.571108e-02  1.436843e-01
##  [726] -1.608613e-01  1.217042e-01  6.856960e-02  8.652364e-02  1.932126e-01
##  [731]  1.110608e-01  1.056746e-01  2.580554e-01  8.903725e-02  7.837095e-01
##  [736]  1.974615e-01  1.072218e-01  1.626206e-01  7.595398e-02  9.028784e-02
##  [741]  4.188625e-01  1.947898e-01  1.159171e-01  9.550066e-02  5.022886e-02
##  [746] -9.773614e-01 -4.340805e-02  1.678538e-01  1.054314e-01  1.242931e-01
##  [751]  1.130858e-01  1.631428e-01  3.716269e-02  3.454856e-02  3.241106e-01
##  [756] -2.047518e-01  2.691717e-01  1.762171e-01  6.839325e-02  8.498722e-02
##  [761]  1.002884e-01  1.282733e-01 -2.489693e-02  2.037496e-01 -3.324656e-01
##  [766]  2.097291e-01 -4.705598e-02  1.627854e-01  2.664513e-01 -2.907998e-02
##  [771] -2.907998e-02  6.719169e-02  4.463087e-02  9.849300e-02  1.692390e-01
##  [776]  3.716269e-02  1.119750e-01  3.815035e-02 -3.908758e-02  2.853927e-01
##  [781]  1.085583e-01  1.883972e-01  2.267621e-02  5.104925e-02  3.103784e-01
##  [786]  2.207400e-01  1.803625e-02  1.864144e-01  1.104624e-01  2.708850e-01
##  [791]  9.936071e-02  4.161326e-01  7.857305e-01  2.870223e-01  2.108302e-01
##  [796]  5.832793e-02  2.874360e-01  1.847149e-01 -7.566484e-01 -5.190423e-02
##  [801]  2.241063e-01  3.811716e-02 -4.700517e-01  6.839325e-02  1.661854e-01
##  [806] -1.549243e-03  2.708850e-01  7.874489e-02  1.043601e-01  7.843314e-01
##  [811]  1.875474e-01  2.092575e-01  7.333612e-02  2.053248e-01  1.281932e-01
##  [816]  9.071292e-02  2.874360e-01  7.825166e-02  1.450586e-01 -1.174272e-01
##  [821]  1.517711e-01  1.932126e-01  1.110383e-01  2.051745e-01  4.738722e-02
##  [826]  1.104624e-01  4.121790e-01  1.434959e-02  1.949122e-01  1.509170e-01
##  [831]  1.440937e-01  2.291083e-01  7.255997e-02  4.856476e-02  2.728039e-01
##  [836]  3.332198e-01  2.572065e-01  1.733845e-01  1.647648e-01  1.592134e-01
##  [841] -7.692857e-01  1.208723e-01  2.228300e-01  1.395087e-01  7.569704e-01
##  [846]  1.950350e-01 -9.256348e-02  1.289118e-01  1.774821e-01  5.424256e-02
##  [851]  2.459390e-01  1.774821e-01  1.974615e-01 -4.638980e-02  2.536217e-01
##  [856] -2.796872e-03  8.053896e-02  1.771989e-01  9.107543e-02  8.295672e-02
##  [861]  2.937861e-01  1.038971e-01  1.035823e-01  1.297534e-01  1.580735e-01
##  [866]  2.053248e-01  7.854196e-01  3.999049e-02  8.381761e-02  5.975266e-02
##  [871]  7.827768e-01  8.351471e-02  1.932126e-01  1.331862e-01  1.200379e-01
##  [876]  7.702278e-02 -2.243790e-01  4.945992e-02  1.703964e-01  1.970480e-01
##  [881]  1.903800e-01  2.717970e-01  2.348339e-01  1.522865e-01  2.215475e-01
##  [886]  2.302890e-02  3.344764e-01  9.849300e-02  9.107543e-02  4.198980e-01
##  [891] -4.944328e-03 -1.662966e-01 -1.934971e-01  2.625522e-01  2.324115e-01
##  [896]  1.986009e-01  2.019247e-01  1.405727e-01  1.233603e-01 -5.437223e-01
##  [901]  7.427698e-02  1.404534e-01  9.341651e-02  1.467516e-01  1.677193e-01
##  [906]  2.983251e-01  1.610539e-01  7.602556e-02  1.074700e-01  1.640496e-01
##  [911]  1.054023e-01  2.678978e-01  9.561187e-02  7.849221e-01  9.375638e-02
##  [916]  2.607282e-01  4.557306e-01  1.534135e-01  2.409492e-01  8.070943e-02
##  [921] -2.333059e-01  1.191340e-01  1.971783e-01  3.032511e-02  1.475886e-01
##  [926]  9.497518e-02  7.838452e-02  3.864619e-02  2.141335e-01  2.181293e-01
##  [931]  7.456500e-02  2.732435e-01 -1.630520e-01 -2.415965e-01 -1.408942e-01
##  [936]  1.359387e-01  2.890077e-01  1.140532e-01  1.308956e-01  2.880647e-01
##  [941]  3.441203e-01 -2.277409e-01  2.304780e-01  6.856960e-02  1.847149e-01
##  [946]  1.475886e-01  9.863616e-02  2.915089e-02  3.691490e-02  2.823195e-02
##  [951]  3.382460e-01  5.747392e-03  7.868187e-01  1.447922e-01  5.981837e-02
##  [956]  1.420075e-01  1.068141e-01  1.875474e-01 -1.261832e-01 -1.261832e-01
##  [961]  9.516422e-02  1.902826e-01  6.301386e-02  2.104847e-01  1.569085e-01
##  [966] -7.526053e-02  2.009205e-01  4.084137e-01  6.856960e-02  6.911781e-02
##  [971]  2.922143e-01  2.328520e-01 -2.796872e-03  7.849532e-01  9.866935e-02
##  [976]  8.951598e-02  1.435011e-01  3.071883e-01  2.900138e-01  2.357148e-01
##  [981]  2.236409e-01  6.856960e-02 -1.298127e-01  2.491879e-01  2.395527e-01
##  [986]  5.983629e-02  9.247041e-02  1.167327e-01  2.046400e-01  2.273465e-01
##  [991]  1.889637e-01  1.932126e-01  3.933523e-01 -2.905113e-01  3.762799e-01
##  [996]  7.860414e-01  5.431838e-02  1.932126e-01  5.735638e-01  2.352477e-01
## [1001]  1.312788e-01  8.652364e-02 -5.121492e-01 -2.618692e-01 -8.783825e-01
## [1006]  6.856960e-02  4.571108e-02  3.357329e-01  2.980365e-01  4.562291e-02
## [1011] -1.090400e+00  4.466046e-02  2.651792e-01  6.853641e-02  3.886456e-01
## [1016]  4.475284e-02 -8.298950e-01 -3.367990e-01  7.455428e-02  2.225018e-01
## [1021]  7.787348e-01  2.191985e-01  2.669859e-01  5.151379e-01  1.494335e-01
## [1026] -1.062219e-01  2.998900e-01  7.543940e-04  2.286541e-01  8.722789e-03
## [1031] -1.626152e-01  7.866944e-01  1.159171e-01  1.164470e-01 -1.591398e-01
## [1036]  3.305289e-01  3.408533e-01 -8.541388e-01  1.733845e-01  6.856960e-02
## [1041]  3.933523e-01  3.801886e-01 -1.802710e-01  9.375638e-02  2.163357e-01
## [1046]  9.125992e-02  4.111436e-01  1.262095e-01  2.456299e-01  7.498622e-02
## [1051]  1.847149e-01 -5.914153e-01  1.855646e-01 -8.887597e-01  2.842925e-01
## [1056] -1.552370e-01 -4.805761e-01  2.389249e-01 -2.020774e-01  7.131784e-01
## [1061]  4.181095e-01  7.123844e-01 -3.257335e-02  3.231675e-01  1.770669e-01
## [1066]  7.866633e-01  9.516422e-02  7.874095e-01  4.273983e-02  6.358521e-01
## [1071]  2.372563e-01  7.832742e-01  4.187684e-01  9.863616e-02  1.492486e-01
## [1076]  5.123873e-02  7.431338e-01  5.490283e-02  1.238403e-01 -8.104742e-02
## [1081] -3.050358e+00  6.410996e-01  1.833031e-01  7.874406e-01  3.135306e-01
## [1086]  4.145324e-01  7.853574e-01  7.543940e-04 -3.383407e-01  5.786791e-01
## [1091]  1.115187e-01 -8.788980e-01  4.121290e-01  1.417637e-01  1.167327e-01
## [1096]  9.375638e-02  7.087835e-02 -2.410126e-01  1.832650e-01  5.722388e-02
## [1101] -1.663882e-01  7.113397e-01  7.878758e-01 -5.146365e-01  2.295487e-01
## [1106]  2.803917e-01 -3.506295e-01 -3.766042e-01  2.286678e-01  1.888085e-01
## [1111]  4.006880e-01  2.524186e-01  7.897827e-02  1.501767e-01  3.420157e-01
## [1116]  1.413914e-01  2.302890e-02  1.983399e-01  1.485393e-01 -5.502437e-02
## [1121]  1.596478e-01  1.680481e-01 -2.585577e-01 -8.104742e-02  2.102644e-01
## [1126]  1.410080e-01  4.925676e-01  1.011154e-01  2.359809e-01  8.653900e-02
## [1131]  2.339531e-01  6.906544e-02  6.688111e-02  7.839244e-02  7.838028e-01
## [1136] -1.109708e-01  3.012795e-01  3.164038e-01  1.042139e-01  9.154588e-02
## [1141]  7.811911e-01  9.139725e-03  2.161155e-01  5.936769e-02 -9.684557e-03
## [1146]  2.704800e-01 -1.208561e+00 -3.024406e-01  1.733845e-01 -8.514866e-02
## [1151]  3.745255e-01  1.188409e-01  3.467244e-04  8.652364e-02  1.514929e-01
## [1156]  7.672618e-01  3.418585e-01  1.790875e-01  4.147206e-01  1.748975e-01
## [1161]  1.675075e-01  4.402053e-02 -4.705598e-02  2.321913e-01  6.001749e-03
## [1166]  7.725164e-01  2.215475e-01  4.157561e-01  1.134713e-01  2.169021e-01
## [1171] -1.390183e+00  7.595398e-02  9.849300e-02 -1.800556e-01  1.146338e-01
## [1176]  4.762322e-02  1.495092e-01  1.134547e-01 -1.172563e-01  1.904596e-01
## [1181]  8.840674e-02  1.921401e-01  1.410080e-01  2.643130e-01  1.054093e-01
## [1186]  5.660024e-02  3.344764e-01  2.739750e-01  6.377262e-01  1.943457e-01
## [1191] -1.530325e-01 -7.214001e-03  1.141899e-01  1.140532e-01  4.016176e-02
## [1196]  2.252572e-02  1.616170e-01  1.514929e-01  2.324115e-01  4.197097e-01
## [1201] -2.718530e-02  1.960452e-01  1.932126e-01  3.108413e-01  2.149512e-01
## [1206]  2.716398e-01  2.117749e-01  2.350541e-01  2.954208e-01  2.074033e-01
## [1211]  7.879380e-01  9.375638e-02  1.312788e-01  6.759884e-02  5.747392e-03
## [1216]  3.274586e-01  3.035111e-01  1.535775e-01 -3.973390e-01  1.930582e-01
## [1221]  3.565385e-02  1.881434e-01  1.322657e-01  9.569746e-02  1.368004e-01
## [1226]  1.224317e-01  4.856476e-02  1.196643e-01  2.185378e-01  2.589673e-01
## [1231]  2.310902e-01  1.056832e-01  5.643719e-02  2.909077e-01  2.371347e-01
## [1236]  4.722322e-02  1.002884e-01  3.769843e-02  1.074700e-01  1.774821e-01
## [1241]  3.245191e-01  9.151629e-02  1.663703e-01  1.847149e-01  2.227676e-01
## [1246]  1.450586e-01  3.231675e-01  5.337327e-01  1.141167e-01  2.295487e-01
## [1251]  1.974615e-01 -1.222359e-02  1.919502e-01  2.646904e-01  3.049568e-01
## [1256]  6.587741e-02  6.856960e-02  8.652364e-02  2.273465e-01  1.008729e-01
## [1261]  1.597049e-01  2.639641e-01  2.498079e-01  7.878758e-01 -1.591398e-01
## [1266]  3.864619e-02  2.590036e-01  7.455428e-02  2.904914e-01  2.830610e-01
## [1271]  1.510836e-01  6.104726e-02  7.208725e-02  3.308809e-01  2.217237e-01
## [1276]  2.823433e-01  3.753067e-01  3.374921e-01  2.997708e-01  3.045483e-01
## [1281]  3.432722e-01  5.490283e-02  1.158486e-01  1.658442e-01  1.218333e-01
## [1286]  1.411226e-01  2.992184e-01  3.330909e-01  4.139707e-01 -9.854551e-02
## [1291]  1.733845e-01  1.312788e-01  9.250832e-02  7.365424e-02  6.301386e-02
## [1296]  2.810859e-01  1.733845e-01  1.798995e-01  1.128562e-01  1.477207e-01
## [1301]  2.858590e-01  1.974615e-01  1.224317e-01  2.295487e-01  1.183843e-01
## [1306]  2.227090e-01  3.933523e-01  3.059792e-01  4.130669e-02  1.231963e-01
## [1311]  3.438690e-01  1.349740e-01  9.561187e-02  2.343935e-01  2.079327e-01
## [1316] -4.195557e-01  4.342880e-01  1.771602e-01  2.163357e-01  1.762171e-01
## [1321]  1.559855e-01  2.634011e-01  2.253646e-01  1.906633e-01  1.838996e-01
## [1326]  1.534135e-01  8.642230e-02  1.003477e-01  9.298633e-02  1.021120e-01
## [1331]  1.733845e-01  1.174395e-01  2.271263e-01  1.875474e-01  1.295575e-01
## [1336]  9.100385e-02  1.050216e-01  1.960452e-01  1.968950e-01  2.350541e-01
## [1341]  3.471360e-01  7.596405e-02  2.375846e-01  3.320073e-01  2.557599e-01
## [1346]  3.172916e-01  5.819039e-02  1.556243e-01  2.304780e-01  2.119313e-01
## [1351]  1.790497e-01  2.625522e-01  2.659167e-01  1.003911e-01  6.035458e-01
## [1356]  4.207452e-01  2.890680e-01  7.875338e-01  3.980590e-01  6.590556e-01
## [1361]  2.026805e-01  7.802894e-01  1.080189e-01  2.097291e-01  2.523954e-01
## [1366]  2.163357e-01  1.733845e-01  2.611056e-01  1.002884e-01  1.932126e-01
## [1371]  1.932126e-01  3.980590e-01  9.849300e-02  1.002884e-01  6.026700e-01
## [1376]  1.951954e-01  7.876582e-01  1.722922e-01  2.101686e-01  2.502812e-01
## [1381]  6.022011e-01  2.164617e-01  7.702278e-02  2.333659e-01  5.407764e-01
## [1386]  2.607282e-01  1.944010e-02  1.393303e-01  4.130262e-01  2.066771e-01
## [1391]  3.457853e-01  1.746538e-01  2.354946e-01  7.480188e-01  4.187684e-01
## [1396]  4.168857e-01  2.005774e-01  1.832650e-01  7.875649e-01  1.236287e-01
## [1401]  6.045148e-01  3.457853e-01  1.221119e-01 -6.184133e-02 -3.111919e-02
## [1406]  1.231963e-01 -1.176088e+01  1.263959e-01  2.375396e-01  1.434959e-02
## [1411]  1.062731e-01  6.899906e-02 -1.580339e-01  5.412462e-01  1.559855e-01
## [1416]  8.763326e-02  1.534135e-01  7.818440e-01
layoff$Laid_Off_Yes_No <- as.factor(layoff$Laid_Off_Yes_No)
out <- sapply(1:3, function(i){plot(layoff$Laid_Off_Yes_No,layoff_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="layoff")})

pairs(layoff_pca$x[,1:3], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,layoff$Laid_Off_Yes_No)})

library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
library(psych)
## 
## Attaching package: 'psych'
## The following object is masked from 'package:car':
## 
##     logit
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
library(corrplot)
## corrplot 0.92 loaded
library(devtools)
## Loading required package: usethis

VISUALIZATIONS:

# Correlation
pairs.panels(layoff[,-1],
             gap = 0,
             bg = c("red", "blue")[layoff$Laid_Off_Yes_No],
             pch=21)

pairs.panels(layoff_pca$x,
             gap=0,
             bg = c("red", "blue")[layoff$Laid_Off_Yes_No],
             pch=21)

fviz_eig(layoff_pca, addlabels = TRUE)

fviz_pca_var(layoff_pca,col.var = "cos2",
             gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
             repel = TRUE)

fviz_pca_ind(layoff_pca, col.ind = "cos2", 
             gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"), 
             repel = TRUE)

biplot(layoff_pca)

# Different PCA Method. 
res.pca <- PCA(layoff[,7:10][,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 1418 individuals, described by 3 variables
## *The results are available in the following objects:
## 
##    name               description                          
## 1  "$eig"             "eigenvalues"                        
## 2  "$var"             "results for the variables"          
## 3  "$var$coord"       "coord. for the variables"           
## 4  "$var$cor"         "correlations variables - dimensions"
## 5  "$var$cos2"        "cos2 for the variables"             
## 6  "$var$contrib"     "contributions of the variables"     
## 7  "$ind"             "results for the individuals"        
## 8  "$ind$coord"       "coord. for the individuals"         
## 9  "$ind$cos2"        "cos2 for the individuals"           
## 10 "$ind$contrib"     "contributions of the individuals"   
## 11 "$call"            "summary statistics"                 
## 12 "$call$centre"     "mean of the variables"              
## 13 "$call$ecart.type" "standard error of the variables"    
## 14 "$call$row.w"      "weights for the individuals"        
## 15 "$call$col.w"      "weights for the variables"
eig.val <- get_eigenvalue(res.pca)
eig.val
##         eigenvalue variance.percent cumulative.variance.percent
## Dim.1 2.0236093687      67.45364562                    67.45365
## Dim.2 0.9759750016      32.53250005                    99.98615
## Dim.3 0.0004156297       0.01385432                   100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 50))

var <- get_pca_var(res.pca)
var
## Principal Component Analysis Results for variables
##  ===================================================
##   Name       Description                                    
## 1 "$coord"   "Coordinates for the variables"                
## 2 "$cor"     "Correlations between variables and dimensions"
## 3 "$cos2"    "Cos2 for the variables"                       
## 4 "$contrib" "contributions of the variables"
# Coordinates
head(var$coord)
##                                  Dim.1     Dim.2         Dim.3
## Percentage                  -0.2154266 0.9765200  2.089643e-05
## Company_Size_before_Layoffs  0.9942077 0.1065052 -1.441462e-02
## Company_Size_after_layoffs   0.9943600 0.1050727  1.441694e-02
# Cos2: quality on the factore map
head(var$cos2)
##                                  Dim.1      Dim.2        Dim.3
## Percentage                  0.04640864 0.95359136 4.366606e-10
## Company_Size_before_Layoffs 0.98844885 0.01134337 2.077812e-04
## Company_Size_after_layoffs  0.98875188 0.01104028 2.078481e-04
# Contributions to the principal components
head(var$contrib)
##                                Dim.1     Dim.2       Dim.3
## Percentage                   2.29336 97.706535  0.00010506
## Company_Size_before_Layoffs 48.84583  1.162260 49.99190708
## Company_Size_after_layoffs  48.86081  1.131205 50.00798786
# Correlation circle
fviz_pca_var(res.pca, col.var = "black")

corrplot(var$cos2, is.corr=FALSE)

fviz_cos2(res.pca, choice = "var", axes = 1:2)

fviz_pca_var(res.pca, col.var = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), 
             repel = TRUE # Avoid text overlapping
)

fviz_pca_var(res.pca, alpha.var = "cos2")

corrplot(var$contrib, is.corr=FALSE)

# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)

# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)

fviz_pca_var(res.pca, col.var = "contrib",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07")
)

fviz_pca_var(res.pca, alpha.var = "contrib")

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (nbut not "text")
             col.ind = layoff$Laid_Off_Yes_No, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             legend.title = "Groups"
)

ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
# Coordinates of individuals
head(ind$coord)
##         Dim.1       Dim.2         Dim.3
## 1 -0.08744950 -0.35144109 -0.0000938293
## 2 -0.17344566 -0.11971625  0.0026644220
## 3  0.08107602 -0.57052151 -0.0033104916
## 4 -0.06859379 -0.59345788  0.0026023100
## 5 -0.02338434  0.09921989 -0.0201823929
## 6 -0.24354556  0.31036967  0.0020976150
# Quality of individuals
head(ind$cos2)
##        Dim.1     Dim.2        Dim.3
## 1 0.05830677 0.9416932 6.712453e-08
## 2 0.67721117 0.3226290 1.598097e-04
## 3 0.01979444 0.9801726 3.300224e-05
## 4 0.01318311 0.9867979 1.897433e-05
## 5 0.05063807 0.9116419 3.772004e-02
## 6 0.38108023 0.6188915 2.826881e-05
# Contributions of individuals
head(ind$contrib)
##          Dim.1        Dim.2        Dim.3
## 1 2.665089e-04 0.0089246287 1.493806e-06
## 2 1.048393e-03 0.0010355981 1.204545e-03
## 3 2.290772e-04 0.0235195565 1.859526e-03
## 4 1.639709e-04 0.0254486574 1.149040e-03
## 5 1.905669e-05 0.0007113487 6.911344e-02
## 6 2.067081e-03 0.0069605511 7.465670e-04
fviz_pca_ind(res.pca)

fviz_pca_ind(res.pca, col.ind = "cos2", 
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE # Avoid text overlapping (slow if many points)
)

fviz_pca_ind(res.pca, pointsize = "cos2", 
             pointshape = 21, fill = "#E7B800",
             repel = TRUE # Avoid text overlapping (slow if many points)
)

fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE # Avoid text overlapping (slow if many points)
)

fviz_cos2(res.pca, choice = "ind")

# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (nbut not "text")
             col.ind = layoff$Laid_Off_Yes_No, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             legend.title = "Groups"
)

fviz_pca_ind(res.pca, geom.ind = "point", col.ind = layoff$Laid_Off_Yes_No, 
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, ellipse.type = "confidence",
             legend.title = "Groups"
)

fviz_pca_ind(res.pca,
             label = "none", # hide individual labels
             habillage = layoff$Laid_Off_Yes_No, # color by groups
             addEllipses = TRUE, # Concentration ellipses
             palette = "jco"
)

fviz_pca_var(res.pca, geom.var = c("point", "text"))

# Show individuals text labels only
fviz_pca_ind(res.pca, geom.ind =  "text")

# Change the size of arrows an labels
fviz_pca_var(res.pca, arrowsize = 1, labelsize = 5, 
             repel = TRUE)

fviz_pca_ind(res.pca, 
             pointsize = 3, pointshape = 21, fill = "lightblue",
             labelsize = 5, repel = TRUE)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (but not "text")
             group.ind = layoff$Laid_Off_Yes_No, # color by groups
             legend.title = "Groups",
             mean.point = FALSE)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (but not "text")
             group.ind = layoff$Laid_Off_Yes_No, # color by groups
             legend.title = "Groups",
             mean.point = TRUE)

fviz_pca_var(res.pca, axes.linetype = "blank")

ind.p <- fviz_pca_ind(res.pca, geom = "point", col.ind = layoff$Laid_Off_Yes_No)
ggpubr::ggpar(ind.p,
              title = "Principal Component Analysis",
              subtitle = "layoff data set",
              caption = "Source: factoextra",
              xlab = "PC1", ylab = "PC2",
              legend.title = "Laid Off", legend.position = "top",
              ggtheme = theme_gray(), palette = "jco"
)

fviz_pca_biplot(res.pca, 
                # Individuals
                geom.ind = "point",
                fill.ind = layoff$Laid_Off_Yes_No, col.ind = "black",
                pointshape = 21, pointsize = 2,
                palette = "jco",
                addEllipses = TRUE,
                # Variables
                alpha.var ="contrib", col.var = "contrib",
                gradient.cols = "RdYlBu",
                
                legend.title = list(fill = "Laid Off", color = "Contrib",
                                    alpha = "Contrib")
)